itself a "trigonometric function" of angle, and (b) it's an alternative representation to angle measure, in terms of which other trigonometric functions...

trigonometry (incomplete and mediocre), trigonometric table (incomplete and mediocre), trigonometric functions (far too formula heavy), trigonometric...

dividing this article into a few sections: Historical computation of trigonometric tables, before computers were widespread. Who did it? What methods did...

The term "trigonometric number" appears to be a neologism. The result mentioned in the article is a version of Niven's theorem, but the only source I...

Wikipedia article "Exact trigonometric values" is highly accurate and serves as a reliable standard for exact trigonometric values, which is important...

or "Great Trigonometric Survey" (without "of India"), the last being the current title. Besides, a few references to "Great Trigonometric Survey" are...

(UTC) Consider the section Relationships between trigonometric functions and inverse trigonometric functions, which states useful rules without giving...

ac.uk/~history/HistTopics/Trigonometric_functions.html to http://www-gap.dcs.st-and.ac.uk/~history/HistTopics/Trigonometric_functions.html When you have...

barely describes what is a trigonometric series. –jacobolus (t) 21:44, 21 February 2023 (UTC) When I was learning about Trigonometric series, I recall reading...

bijective mapping between the complex trigonometric polynomials and the real trigonometric polynomials. Thus a trigonometric polynomial can be considered a periodic...

as in exact trigonometric values or exact values of trigonometric functions. We ought to consider the potential readership: trigonometry is a secondary-school...

inverse trigonometric function, with arc functions being a redirect to that page. I've merged the content from List of integrals of inverse trigonometric functions...

(UTC) This is because the argument of a trigonometric function is an arc, so the image of the inverse trigonometric function is also an arc: sin(arc)=number...

I feel this page is redundant and should just redirect to Trigonometric Identity, however I do not know how to do this...

heavily on trigonometric functions, and many statisticians do research in the theory of time series, again relying heavily on trigonometric functions....

whole lot of stuff from the List of trigonometric identities article, and placed it at Talk:List of trigonometric identities/removed. This included a...

curvature-dependent. Thus, "trigonometric proofs" of the Pythagorean theorem are not "circular" as long as they use the trigonometric definition of "sine" as...

Stone-Weierstrass theorem this function exists and is unique. It is called complex trigonometric polynomial of degree N-1 and has the form ... I don't think this article...

in-depth explanation. The Transhumanist 00:12, 9 August 2015 (UTC) List of trigonometry topics is a list in outline form, same structure as this article, so...

article should be merged with List of trigonometric identities, in particular the section Other sums of trigonometric functions, as these identities are...

that a distinct page isn't warranted. The relevant section on List of trigonometric identities is currently much more developed with respect to conditional...

etymology, notably: Eli Maor, Trigonometric Delights, ch. 3: "Six Functions Come of Age" (Princeton Univ. Press, 1998). Trigonometric functions (MacTutor History...

identities shown (e.g. in a table) side by side with the "standard" trigonometric identities, if you like with commentary about where similar ideas had...

14:33, 27 January 2007 (UTC) Trigonometry is fundamentally about triangles - historically and linguistically. The trigonometric functions sin(x) etc., however...

The comment(s) below were originally left at Talk:Trigonometric functions/CommentsTalk:Trigonometric functions/Comments, and are posted here for posterity...

only possible value of some of these trigonometric functions (Trigonometric functions#Special values in trigonometric functions). I just hope that you just...

Do this subject have any content that shouldn't just be part of Trigonometric identity? If this stays as a separate article, it needs a 'lot' more explanatory...

involving complex numbers: why not? I don't see that "trigonometric identity" has to mean "real trigonometric identity". When I checked the article a few minutes...

cases introductory calculus students are traditionally taught to use trigonometric substitutions, but with less new things for students to memorize: Betounes...

trigonometric if it has trigonometric functions. Trigonometric functions are explained in https://en.m.wikipedia.org/wiki/Trigonometric_functions . So only...

name this like List of Integrals involving trigonometric functions or short, List of Integrals with trigonometric functions. Use of parentheses looks like...

to what extent some of the identities here are subsumed by what's already present over at trigonometric identity. --MarkSweep 21:12, 27 Apr 2005 (UTC)...

supported by reliable sources. There are as many potential acrostics for trigonometric identities as there are combinations of words starting with the right...

motion the trigonometric functions are best understood in terms of the (complex) exponential function." [4] and: "[Rational trigonometry] cleanly separates...

undergraduate mathematics researchers, I saw a nice presentation on doing trigonometry in various infinitely-dimensional spaces. Their main example was the...

Further inline citations, including: It was the earliest trigonometric table extensive enough for many practical purposes, including those of astronomy...

suggestions of a trigonometric purpose highly speculative and am not aware of any professional historian supporting a trigonometric interpretation. About...

general concept orthogonality. A lot of links (deleted) are more than trigonometric concepts, such as Great-circle distance. Also, when excess links are...

redirected to Sine, and the Sine article replicated the material from trigonometric function. I consolidated everything in the trig function article and...

is secondary source which mention that this is first trigonometric proof: "OTHER TRIGONOMETRIC PROOFS ON PYTHAGORAS THEOREM", N. Luzia, 2015, https://arxiv...

navigators? That is, to calculate trigonometric solutions to the traverse sailing problem (or what sort of trigonometric problems it would be applied to)...

from List of trigonometric identities revision 2008-03-18T23:47:50 to here: https://en.wikipedia.org/w/index.php?title=List_of_trigonometric...

which are expressly trigonometric? (Can you read Latin?) If not, we should probably say explicitly that this was not about a trigonometric quantity per se...

T-Functions stands on Trigonometric Functions. Although not every system gives response to this functions because of its complexity and metrics which...

this should be a redirect to List_of_integrals_of_trigonometric_functions#Integrals_of_trigonometric_functions_containing_only_secant? Gyro Copter (talk)...

adjective geometric rather than trigonometric. Lithopsian (talk) 17:31, 12 June 2019 (UTC) Or if it is too greedy to hog trigonometric parallax purely for astronomy...

Naderi Yeganeh is a mathematical artist who's created plant images by trigonometric functions." In 2016, Barbour Design Inc. stated on its own blog that...

I'm not a mathematician, but how can it be true that the trigonometric and hyperbolic functions are entire? For example, the tangent function isn't even...

from? Jowa fan (talk) 02:41, 21 June 2010 (UTC) "Approximation of a trigonometric sum", I believe. There is some bolding in the article summary to indicate...

be ridiculous to include them all here. I think this is already covered by inverse trigonometric functions. — mwgamera (talk) 13:46, 20 May 2015 (UTC)...

edition of what has become, in its English translation, the two-volume Trigonometric Series. The 1935 edition was in English. I suggest: In 1935 Zygmund...

category could included this with Royal Thai Survey Department Great Trigonometric Survey History of cartography Principal Triangulation of Britain Pundit...

Commons, and changed the link (old and new figures are in the "spherical trigonometry" category). I then edited the text to give the correct corresponding...

2005 (UTC) Another point, should the trigonometric stuff be in a separate article, possibly Chord (trigonometry)? The two are obviously related, but I'm...

"hit to hit" distance at a known distance using the trigonometric formula for TanA Trigonometric_functions. —Preceding unsigned comment added by RVZoo...

173.107 (talk) 03:51, 13 July 2015 (UTC) It's a mnemonic for which trigonometric functions are positive in the quadrant: All: all Science: sine Teachers:...

on it needs to go into such intricate detail about many many other trigonometric functions that are also trivial variations on cos; this is supposed...

rational trigonometry: both take things that were well known (the trigonometric interpretation of the tablet, and the special trigonometric functions...

(UTC) Trigonometry is based on Pythagorean theorem. Therefore, a trigonometric proof should be circular. Nevertheless, if you know a trigonometric proof...

forum threads), apparently it works to double precision just for the trigonometric functions, that's all. No register is stored to "25 digits" and no other...

mathematics" course in the USA. The article mentions only the exclusion of the calculus of trigonometric functions. Dbfirs 08:48, 7 February 2010 (UTC)...

surface of interest), then cosine error will be introduced. From a trigonometric perspective, I imagine it is probably similar to the problem with lidar...

curiosity, when would you ever nest trigonometric functions? You'd run into unit problems, wouldn't you? Your basic trigonometric functions (cosine, sine, and...

contribution to mathematics with his new subject known as "rational trigonometry."Dratman (talk) 01:56, 17 September 2011 (UTC) I think there have been...

elementary mathematics), exact forms or expressions (such as exact trigonometric constants, irrational numbers and continued fractions), where the answer...

Wikipedia and this is not the place to fight against it. Go to Talk:Trigonometric functions and Wikipedia talk:WikiProject Mathematics if you want to...

that the page as now written deals both with secant lines and with trigonometric secants. And it seems a good idea to leave it that way unless a lot...

the obsolete section about the trigonometric function tangent — the topic is much better covered at the trigonometric functions and doesn't have much...

sake of simplicity both multiplication and avoiding the reciprocal trigonometric function are good ideas. 79.138.205.160 (talk) 20:18, 3 December 2009...

...

the article and can be used while creating an article on The Great Trigonometrical Society : The Society was created by Colonel William Lambten in Chennai...

something. This is much the same as the reason why cosine redirects to trigonometric function, not to the law of cosines. —Steven G. Johnson 01:41, 19 April...

the dimensionlessness of the radian is in the Taylor series for the trigonometric function sin ⁡ ( x ) {\displaystyle \sin(x)} : sin ⁡ ( x ) = x − x 3...

the lists at the end of pages: Handbooks on plane trigonometry Handbooks on spherical trigonometry LGB (talk) 12:12, 28 January 2013 (UTC) The SSA case...

other hand, the article on trigonometry says By the 10th century, Islamic mathematicians were using all six trigonometric functions, had tabulated their...

Mount Everest on the observations and calculations made by the Great Trigonometric Survey which announced the height of Peak XV (which became Everest)...

I have seen both notations used equally often. But in the case of trigonometric functions I have rarely seen the composite function notation, so I suppose...

Conrad.Irwin 22:16, 7 June 2007 (UTC) These should be at Proofs of trigonometric identities but I dont have the time right now to put them in properly...

Most of the content here seems to be duplicated from trigonometric functions. I'm inclined to think that this should just be a redirect to that article...

might start to feel out of scope for the article. You can see that e.g. trigonometric functions includes 7 rows in its table of values, gamma function has...

the whole system of plane and spherical trigonometry. This work is really the first in history on trigonometry as an independent branch of pure Mathematics...

(talk) 05:47, 17 January 2022 (UTC) Who is the father of trigonometry? How many total trigonometric identities? Highlighter singh (talk) 15:41, 25 February...

formulas in term of trigonometric and hyperbolic functions deserve to be kept. These formulas almost appear in the section Trigonometric (and hyperbolic)...

Could you explain what you mean? They are both local linearizations of trigonometric functions. That makes them very closely related in my opinion. —Keenan...

implies several trigonometric identities, as well as de Moivre's formula. (Emphasis added.) I believe that #Relationship to trigonometry should contain...

a rangefinder camera, which is true if rangefinders are narrowed to trigonometric devices only. The Periflex was certainly regarded as such back in its...

Archimedes didn’t know trigonometry, so he must have stated “his” inequality in other terms. What were those terms? CielProfond (talk) 05:28, 19 December...

editor has identified a potential problem with the redirect Algebra II/Trigonometry and has thus listed it for discussion. This discussion will occur at...

same thing as a trigonometric series. But of course the Fourier series must be gotten by "integrating" something. (There are trigonometric series that are...

the Persian astronomer and mathematician al-Kashi provided accurate trigonometric tables and expressed the theorem in a form suitable for modern usage...

replacing thousands of expensive divide operations with trigonometric multiplies." But what is a trigonometric multiply? —Preceding unsigned comment added by 136...

Kazui Muroi's 2013 paper "Babylonian number theory and trigonometric functions: trigonometric table and Pythagorean triples in the mathematical tablet...

yielding the word for bosom, in Latin, sinus. Hence, the origin of the trigonometric function named sine. The basic point is true (misidentification of the...

fractions are usually taught in Calculus II, Integral Calculus, right after trigonometric integrals and substitutions, see for example Stewart's book (any edition...

prefix though, if only for consistency with the notation used in inverse trigonometric functions. 128.104.166.158 (talk) 00:10, 20 December 2017 (UTC) "These...

several times larger than is needed; it involves angles, division and trigonometric operations, all of these out of place (addition/subtraction and multiplication...

and prosthaphaeresis, or they overgeneralized the term to include any trigonometric method. Dcoetzee 21:27, 18 November 2008 (UTC) Prosthaphaeresis has...

contribution done by india didn't had their origin in India.For example concept trigonometry, geometry and algebra was first developed by ancient Greeks, astronomy...

A 1981 textbook College Algebra and Trigonometry by Kolman and Shapiro says that Shapiro taught at Pennsylvania State University, Ogontz Campus. Does Penn...

It contains full analyses and reconstructions of Andoyer's tables of trigonometric functions and logarithms.Roegel (talk) 19:09, 11 December 2010 (UTC)...

formula could of course be expressed entirely in terms of the more common trigonometric functions such as sine and cosine. But in the era before the digital...

convinced that Wikipedia needs an article on a couple of straightforward trigonometry exercises. So if someone were to nominate this article for deletion,...

the middle section as a framework - but to ascribe the invention of trigonometry to someone who lived two centuries after Claudius Ptolemy is nonsense...

cosecant functions, as well studied the interrelations between the six trigonometric lines associated with an arc. His Almagest was widely read by medieval...

terms of trigonometric and hyperbolic functions, using several case distinctions. --62.226.246.161 (talk) 14:51, 10 May 2014 (UTC) The trigonometric solution...

probably do a better job by making it a specific section at Generalized trigonometry, and limiting to a fairly concise summary. –jacobolus (t) 23:38, 2 May...

{b^{2}\sin \alpha \sin(\alpha +\beta )}{2\sin \beta }}} Citation List of trigonometric identities#Sum-to-product identities Proof tan ⁡ θ − tan ⁡ φ = sin ⁡...

can show that the inverse trigonometric functions are given as integrals of this form, and the periods of the trigonometric functions are contour integrals...

2012 (UTC) A general expression may contain for example logarithms, trigonometric functions, hyperbolic functions and so on. An algebraic expression contains...

of British universities, Thomson Financial League Tables, Generating trigonometric tables, etc. --RexxS (talk) 00:38, 22 January 2010 (UTC) Oppose. Singular...

weaknesses (in terms of accuracy and range). Here is a candidate list: Trigonometric parallax Variables: Eclipsing binary, Cepheid variable, RR Lyrae variables...

station needs to provide a place to set up a tripod for a theodolite (in trigonometric measurement) or a positioning device above the point, as well as for...

progressed the years. So you can be sure the trigonometry for A-level is more complicated than the trigonometry taught to an 11 year old. And Laplace and...

Legatostaccato (talk) 06:40, 11 February 2020 (UTC) We do have a page for trigonometric substitutions. Nerd271 (talk) 19:14, 4 April 2020 (UTC) I think we should...

just starting in on the literature on this. In the classic Zygmund Trigonometric Series, the Weyl differintegral is used: but only for periodic functions...

Parall Pcd n T Name n = number components Pcd is Parallax code: HIP - trigonometric Hipparcos These two lines from systems.dat give the system component...

is because the orientation of segments matter: AB=-BA. Otherwise the trigonometric version of Menelaus's theorem would yield a different result. Qoou.Anonimu...

example Hermite polynomials), as on would approximate functions by trigonometric polynomials such as Fourier polynomials or Chebyshev polynomials. For...

"Sech (trigonometry)". Paintspot Infez (talk) 00:29, 20 September 2018 (UTC) Moving the redirect's history is a good idea, but wouldn't "trigonometry" be...

nature of the roots as a function of the discriminant, the Galois group, trigonometric solutions, etc. Which summary of the splitted article must be kept in...

or more target anchors: [[List of trigonometric identities#Trigonometric conversions]] The anchor (#Trigonometric conversions) has been deleted. The...

exam have a choice between doing a paper on calculus and a paper on trigonometry. 2. That two students, here called Bean and Bown, are unaware of this...

where to put them? 2. Are the inverse trigonometric functions (e.g. arcsine) formally included in trigonometric functions, or should be specified separately...

(UTC) Not sure if "Contains the earliest tables ...", "Contains the trigonometric formula ..." is the best verbiage. Would it be better to use "Created"...

a periodic interval – red link!), including trigonometric polynomials, trigonometric series, trigonometric interpolation, Fourier series, the discrete...

were referring to complex logarithms and trigonometry, did you mean the expressions for inverse trigonometric functions in terms of the complex logarithm...

requires built in functions for transcendental functions, particularly the trigonometric and logarithm functions and their inverses. While I do not have access...

says the definition for f^2 x when not in trigonometry. Then, it has the exception and it says trigonometric functions, not hyperbolic functions. 66.245...

How did Brahmagupta derive this formula? The algebra and trigonometry in the modern proof surely post-date him by a considerable amount. Rigadoun 04:58...

interpreted by leading mathematicians as a listing of Pythagorean triples and trigonometric functions, in 2002 the Mathematical Association of America published...

concecpts: The mathematical concept "vertical circle" from spherical trigonometry An optical instrument "vertical circle" to measure angles The content...

Without accurate trigonometric values there would have been no Mercator chart. How could Clavius (the top Jesuit) have derived trigonometric values, when...

speed reading itself is its own subject, just like trigonometry. You could merge the trigonometry article into the math article, but that would not make...

to spherical geometry or trigonometry. Nearly all such works, including all the references cited at Spherical trigonometry, take the extrinsic point...

it was a breeze. I received credit for algebra, geometry, trigonometry, spherical trigonometry and college algebra in four months! Then came WW II and forced...

context. This description should be integrated into the article on trigonometric functions, or maybe a page describing those should be created and linked...

I showed. Since you are moderating this trigonometry related page, you may be familiar with Fu's trigonometric simplification approach. The CAS that I...

seems at though there are extra absolute value functions around each trigonometric function. Shouldn't line 3 in the code for 2D read: raux=abs(1/a(1)...

sources call this the "universal trigonometric substitution": Piskunov (1969) calls this the "universal trigonometric substitution" https://archive.org/details/n...

sorry :-) Hexagone59 (talk) 18:21, 29 November 2015 (UTC) Are there trigonometric forms of the lemniscate, e.g., something similar to r = | c o s ( θ...

with the locality for many years; the name was given to an adjacent trigonometrical station by Surveyor Scrivener in c. 1910, and later adopted as the...

a good deal of historical importance. They have useful analogies to trigonometric functions, as indicated by similar notation (e.g. sn and sin). These...

taking into account the geometry of the location polygon. Geometric and trigonometric methods are then powerless. Iterative optimizing methods are used in...

Sutras containing trigonometric functions. There is no evdidence of this. Since these claims were made in the WP page on trigonometric functions as well...

stands for "parallax of one arc second". It is based on the method of trigonometric parallax, one of the most ancient and standard methods of determining...

(UTC) The term "principal value" can also refer to the value of inverse trigonometric functions in the range -pi/2 to pi/2 for arcsine and arccos, and the...

the word "trigonometric" altogether, since "circular trigonometric" is redundant. The link "circular functions" redirects to "trigonometric functions"...

this statement is a bit vague. Book 1 very specifically lays down the trigonometric framework deployed in the various calculations throughout the entire...

private license and my dispatch license without ever having to learn trigonometry. This article is about steady flight, which is a relatively simple aeronautical...

Some FPU's implement square root I think! User:Rjstott Some FPUs do trigonometric functions. For example, the 80387 has FSIN, FCOS, FSINCOS, FPTAN and...

This article needs pics. dima (talk) 00:31, 5 February 2008 (UTC) Can anybody suggest the reference to confirm that the integral sinus is entire function...

used to denote coordinates in 3 dimensions. In other mathematical or trigonometric topics that expression is often used to denote the 3 angles of a triangle...

roots that he used to compute π? Source for "first formula...": Maor, Trigonometric Delights, p. 50, "It was the first time an infinite process was explicitly...

unless we have surveying-schools that teach how to use theodolites, trigonometry, and graph-paper to ascertain which landmark "completely dominates" some...

complex numbers and quaternions allows us to reduce the proofs for trigonometric identities into simple algebra, without recourse to clever diagrams...

stars of Alpha Centauri approach us, the measured proper motion and trigonometric parallax slowly increase." Including a table like this implies to me...

the orbital plane. Such a quantity can't be used as the argument of a trigonometric function. Instead, the (published) ascending node longitude is subtracted...

of your contribution: ==Trigonometry== The tangent value can be equated to the slope of a line by knowing basic trigonometric identities and algebraic...

Arabia and Cambodia; Varahamihira, who was the first to discover many trigonometric identities; and Bhaskaracharya, or Bhaskara II, whose book Lilavati...

more common phase detector uses a single multiplier and a different trigonometric identity: sin ⁡ α cos ⁡ β = sin ⁡ ( α − β ) 2 + sin ⁡ ( α + β ) 2 ≈...

to the section Trigonometric method the Weisstein's hyperbolic formulas, rewritten to be coherent with current notation and trigonometric formula. I'll...

some things, like saying mathematics includes geometry, algebra and trigonometry. Nominally, my local Whitewater River watershed is a watershed of North...

...

...

There should probably also be the inverse trig functions because I can't find another page that has proofs for them. --Bobianite (talk) 01:32, 17 April...

India - as testified by John Keay in his wonderful book "The Great Trigonometrical Survey of India". In short his death date is likely to be the 19th...

The redirect Trignonmetric Ratios has been listed at redirects for discussion to determine whether its use and function meets the redirect guidelines....

Maybe the stuff in "Trigonometric functions" should just be part of "properties" (or remove it completely)? If "trigonometric functions" is a section...

personal opinion. Was it not possible before to measure elevations with trigonometry? Since there is likewise no reference for the claim that the interpolation...

incredible amounts of time on hand calculations such as a logarithm table or trigonometric functions. Calculating all of the points for a Mandelbrot set is a comparable...

source for historical claims. Trigonometry/Hipparchus. The very source given disputes that he was the father of trigonometry! The point is, I am not being...

This article was listed on WP:AR1, there is a slight difference betwwen this and Fourier transformation. In that the approximation uses truncated Fourier...

be 36 degrees. Apply the spherical trigonometry law of cosines http://en.wikipedia.org/wiki/Spherical_trigonometry to a cone segment formed by three great...

more interested. Anyway, I'm going to add one more bit, about lacunary trigonometric series, and then get back to the complex logarithms, and topics in complex-valued...

represents a "trigonometric progression" and not an "arithmetic progression". Maybe there is someplace it can be placed in the trigonometry articles. Thelema418...

might be added: Snell's Law Prism Formula Basic Algebra, Geometry, and Trigonometry Calculus(optional) Shubhrajit Sadhukhan (talk) 15:05, 4 June 2020 (UTC)...

circular or trigonometric functions, such as the Greeks did, the Babylonians based their calculations on numerical relationships. How are trigonometric functions...

fractions seems to be the invention of Bartholomaeus Pitiscus, in whose trigonometrical tables (1612) it occurs and it was accepted by John Napier in his logarithmic...

—Quantling (talk | contribs) 17:41, 10 March 2011 (UTC) I made a bold edit to spherical trigonometry. —Quantling (talk | contribs) 17:26, 7 July 2025 (UTC) Would someone...

they expect people to read the articles?? (See uncertainty principle, trigonometry, algebra, wave-particle duality.) Michael Hardy 21:00, 22 May 2006 (UTC)...

...

map the complex plane to a cylinder and more generally that complex trigonometric functions can be considered to have a cylinder as their domain, that...

values, program execution, arithmetic operations, special functions (trigonometric and logarithmic), and output.) "4-bit microprocessor" – The concept...

{\displaystyle C_{n}^{3/2}(\cos 2\phi )} and expanding it to series of trigonometric functions in accordance with well known formulae for instance NIST library[3]...

072455009&oldid=1072428222 ,and I editted a new part.this article's trigonometric formulas Couldn't it simplify like this?And I undid the not-organized...

of applying sum to product trigonometric identities when two sinusoids are superposed or added, see List_of_trigonometric_identities. To answer you question;...

usual parametrization and wrote down the slopes of the lines. With some trigonometric identities I got convinced. Those parameters made me write Lie trapezoid...

only the exponential, logarithm, and trigonometric functions (perhaps by accident excluding the inverse trigonometric functions!) Many sources deal with...

clear that Rod's key error is the hyperbolic trigonometric analog of confusing (in circular trigonometry) the (unequal) arc lengths of inner and outer...

originator. On a mathematical level, this is a trivial identity on trigonometric polynomials, not Fourier series. In particular, the L 4 {\displaystyle...

Lazard (talk) 13:37, 22 July 2016 (UTC) The section Cubic function#Trigonometric solution for three real roots had this graphic added to it on 12 October...

refers to the land of the Hindus. Chess was invented in India. Algebra, Trigonometry and Calculus are studies, which originated in India. The 'Place Value...

I'n no native EN --W!B: 00:54, 15 December 2005 (UTC) imho all the trigonometric, hyperbolic functions, logarithm, and even straight line should be added...

about which proof is simpler. I proved this theorem using fairly simple trigonometric identities, and a respectable if somewhat eccentric mathematician I...

folks on various internet forums who have calculated those based on trigonometry and observation, but that is not appropriate info for us to use in the...

Office, for permission for her to be sent an Algebra and Geometry and a Trigonometry book, as she was preparing for the Cambridge University entrance examinations...

of reference to squared distance being called "quadrance" in rational trigonometry as WP:UNDUE. This seemed clear enough; if the article were trying to...

Motto: Sincerity, Scholarship, Service (a.k.a. SSS - side, side, side (trigonometric shorthand)) Can someone remove that? 12:01, 9 December 2006 (UTC) this...

"Mathematics" heading. I think "Triangle Area" or similar might be better than "Trigonometry" under that. JJ Harrison (talk) 00:37, 21 February 2012 (UTC) If it was...

E stands for exponential. T is for trigonometric function. A stands for algebraic. I is for inverse trigonometric, and finally L is for logarithmic, which...

can be converted to the two polar coordinates r and θ by using the trigonometric functions sine and cosine: x = r cos ⁡ θ {\displaystyle x=r\cos \theta...

consequence of Snell's law. Deriving it needs only the most elementary trigonometry. There is no need for a medieval science scholar for this. One could...

x in the definition of the family (orbit) of Chebyshev_polynomials#Trigonometric_definition: there are two variables, but no need of introducing weird...

Paraboloid r = 1 Cone r = 2 Neiloid r = 3 g_x=p*x^r Tree Height Geometry Trigonometry b/((a-b))= B/((A-B)) a:b=A:B H=D*(tan⁡〖( α)+tan⁡〖( β))〗 〗 Apparent Height...

20:43, 11 March 2022 (UTC) References Reid, M. J.; et al. (2009). "Trigonometric parallaxes of massive star-forming regions. VI. Galactic structure,...

using trigonometric techniques. Instead, de Moivre uses variables to represent things like the "ratio of the arc". Most explanations of trigonometric properties...

thinking.) MEisSCAMMER(talk)Hello! 12:15, 16 March 2021 (UTC) In § Trigonometric expression the plots of the complex functions z ↦ z 3 − 1 {\displaystyle...

algebraic topology. -- Tarquin What do you think about removing the link to trigonometric functions from the main math page. There's already a link to it under...

Nakon 03:08, 31 July 2015 (UTC) Examples for malamanteau: Malamanteau Trigonometry Malamanteau is a wrongly generated portmanteau of "malapropism" and "portmanteau"...

Multitruncation and alternation Resolution using Schwarz triangles and spherical trigonometry. I took me many days, so I didn't try (yet) to redo this for the snub...

than ABD.--Kmhkmh (talk) 05:37, 30 May 2017 (UTC) The proof given uses trigonometry, which was not a tool available to Apollonius. So, how did he prove it...

...

article also says "True dip can be calculated from apparent dip using trigonometry if you know the strike" and that *seems* to imply more than just adding...

series of what? There are 4 or 5 trigonmetric functions listed below. Trigonometric series. ... Rational approximations of infinite series. ... Taylor series...

Circular Angle: Trigonometry by James Stewart, Lothar Redlin, and Saleem Watson. Chapter 1: Trigonometric Functions. Trigonometry by I.M. Gelfand and...

Some trigonometric functions have limited ranges for their values: -1 ≤ sin x ≤ 1 -1 ≤ cos x ≤ 1 |sec x| ≥ 1 |csc x| ≥ 1 Inverse trigonometric functions...

September 2009 (UTC) The article references trigonometric series that are not Fourier series, but trigonometric series directly refers to Fourier series...

readings. From the known angle-side-angle information the navigator uses trigonometry (or tables) to calculate the length of the last line of sight, which...

replace the example with one that does work, but I don't know any from trigonometry. It is true that lim x-> infty arctan x is pi/2, but one sided limits...

complement the comments on spherical excess in the article on Spherical trigonometry. I have not attempted to give a proof since such is available on the...

libretexts.org/Bookshelves/Precalculus/Precalculus_1e_(OpenStax)/07%3A_Trigonometric_Identities_and_Equations/7.03%3A_Double-Angle_Half-Angle_and_Reduction_Formulas...

9 September 2008 (UTC) This has been dealt with. Some knowledge of trigonometry is assumed. Michaelbarreto (talk) 07:16, 17 May 2010 (UTC) Not only that...

found in this article. For a start, I added a section on his work on trigonometry. By 1586, Bürgi was able to calculate sines at arbitrary precision, using...

article on spherical trigonometry didn't already exist and I wanted to create one, it wouldn't occur to me to write "Spherical trigonometry is ..." and leave...

hope all the math is at the level of high school geometry, algebra, and trigonometry; I don't think this topic needs anything more advanced than that. —David...

series for ex, and from that the trigonometric power series are derived. Note that the WP article on Trigonometric function does not actually derive...

be considered secondary resources. Texts are really better. Rational trigonometry is essentially a topic developed by a single person, for which there...

"Rendering Non-Euclidean Space in Real-Time Using Spherical and Hyperbolic Trigonometry". Computational Science – ICCS 2019. Lecture Notes in Computer Science...

functions to the larger set F. For example, the exponential functions, the trigonometric functions, and the set of natural numbers cannot be defined in the language...

(talk) 09:20, 26 February 2010 (UTC) There is also little mention of the trigonometric geometric optics math involved, in estimating distances, from the known...

specific math and science courses (3rd grade through Pre-calculus and Trigonometry, and General Chemistry). I would be happy to explain, but this link will...

imaginary number: exp&i=(x→eix). The trigonometric cosine is the even part: cos=P(exp&i), and i times the trigonometric sine is the odd part: i×sin=Q(exp&i)...

limited on statistics, elementary algebra, geometry (solid and analytic), trigonometry and calculus which both RSHS and PSHS also offer in their curriculum...

the 4004 in 1972, was a 4004 simulator that ran on an IBM 370, and trigonometric functions that he checked and debugged using the simulator, which he...

back to your original "based on a least squares fit between data and trigonometric functions". Can you explain why you prefer that text? And why you choose...

be 'physically' spatially resolved into the 'A' axis direction using trigonometry to become approximately equal to -0.25 (in the 'A' direction). When 'spatial'...

Instead they use algebraic functions (roots or rational functions), trigonometric functions, exponential functions, logarithmic functions and so on. Perhaps...

Alexandrov (talk) 01:05, 14 May 2007 (UTC) Not every Trigonometric series is a Fourier series. A trigonometric series has the form: 1 2 A o + ∑ n = 1 ∞ ( A n...

This is the talk page for discussing improvements to the Trigonometry of a tetrahedron article. This is not a forum for general discussion of the subject...

is equal to 1/2*sin(2*Pi*(fc-fm)*t) + 1/2*sin(2*Pi*(fc+fm)*t) (use trigonometric addition and subtraction theorems to prove), i.e. Sr(t) is just the...

high school (early 1960s), these were called Algebra, Geometry, and Trigonometry -- which would have made more sense as that's what SM1 through SM3 really...

a new publication. This formula is different from the conventional trigonometric ones, and it does not need any circumstantial treatment. An unambiguous...

to get the above numbers. What the calculator does when you ask for trigonometric functions in degrees is first to convert your argument to radians, and...

is a circle of radius 1 unit, oftenly used to define the functions of trigonometry. In this diagram, individual points on the unit circle are labeled first...

article in concentrates on integrals with trigonometric functions. Would it make sense to discuss the trigonometric form in the lead, as this is the form...

here. Tangent = sine/cosine (just check the 1st illustration in the Trigonometric function article) and when cosine = 0 how exactly do you define the...

selected by Colonel Mudge as one of his principal stations in making the trigonometrical survey of North Wales. Considerable quantities of manganese, and some...

alternative form of trigonometry took quantities such as sines or tangents to be ratios of line segments. Finally a third form of trigonometry took such quantities...

Loisel (talk) 07:20, 23 June 2008 (UTC) The original definition of a trigonometric series does not require f to be periodic. This is reflected in the convergence...

November 2025 (UTC) With only a few changes, Cardano's formula and Vieta's trigonometric method for solving the cubic equation become suitable for solving equations...

mathematics are not one of my strong suits (my last "high math" was trigonometry & analytic geometry ages ago...) this might take me a while but I promise...

The content of the List of trigonometry topicsList of trigonometry topics page was merged into Outline of trigonometry on 2017-02-11, and it now redirects...

nature of that cycle: is it linear or non-linear. You seem to know these trigonometric functions better than I do (from your work on the ecliptic coordinate...

by taking E 0 = M {\displaystyle E_{0}=M} and using expansions of trigonometric functions, we obtain: E 1 = M + e sin ⁡ M {\displaystyle E_{1}=M+e\...

reduces visual clutter, is consistent with Wikipedia articles about trigonometric functions, and is generally not ambiguous. And similarly for other changes...

Δσ/2 = 90° − |φ1 + φ2|/2, tan(Δσ/2) = cot(|φ1 + φ2|/2) (per List of trigonometric identities § Reflections) and tan2(Δσ/2) = cot2((φ1 + φ2)/2) = 1/c b...

had Bowditch sitting at his desk saying "hmmm, here's an interesting trigonometric identity that I could use to work lunars in a slightly different way...

a d / 2 {\displaystyle F_{a}^{V}=F_{Load}/2} , (2) Furthermore, from trigonometry, we know cos ⁡ ( θ V / 2 ) = F a V / F a n c h o r {\displaystyle \cos(\theta...

The title of this article seems misleading, since the term integration using complex analysis would usually be construed as meaning things like the residue...

Delporte's exact 1930 boundaries and do the calculation using spherical trigonometry. -- Curps 18:39, 6 August 2005 (UTC) Actually, there's another way to...

September 2020 (UTC) TomS TDotO, the trigonometric formula is given in the Qibla#Calculations_with_spherical_trigonometry section. Is that what you mean? HaEr48...

mathematician Radhanath Sikdar was employed as a "computer" for the Great Trigonometrical Survey of India in 1840. It was he who first identified and calculated...

directions of plane sets, one about the limit of a sum, one about multiple trigonometric sums, one for Homological Algebra, one about Information Theory, one...

To me a nemonic is supposed to provide an easy way to help you remember something. It shouldn't be hard to remember or hard to remember how to use. The...

...

as input values. the factorial operation on the real numbers OK the trigonometric operations (sin x, cos x, tan x, cot x, csc x) on the real numbers OK...

techniques of numerical analysis used for the calculation of logarithmic and trigonometric tables can readily be seen to be ‘computational science’; as can all...

mathematics are not one of my strong suits (my last "high math" was trigonometry & analytic geometry ages ago...) this might take me a while but I promise...

tunnel ... Ppe42 03:28, 12 September 2006 (UTC) As an alternative to trigonometry, my GPS recorded the elevation at both ends... At the eastern end I recorded...

oriented angle can be represented by a versor), or the half-tangent (trigonometric tangent of half the angle), a real number ranging from ⁠ − ∞ {\displaystyle...

weeks the teacher does a quick revision of real numbers, functions and trigonometric functions, before plunging in limits (unless he/she likes Apostol approach...

Article (edit | visual edit | history) · Article talk (edit | history) · Watch This article is not ready for GAN at this time due to non-compliance with...

college-freshman perspective. It employs no mathematics beyond blunt algebra and trigonometry. Physics C, on the other hand, is no suvey exam. In fact, it is not even...

introducing the expression Arctan(⁠x/y⁠) (note the inverted argument!), and a trigonometric half-angle identity. Both variants give a maximally compact definition...

*how* the Romans performed these feats. Modern engineering would use trigonometry to calculate stresses on structures caused by the pull of gravity and...

(UTC) Thanks a lot for helping out, I did not realise beforehand that trigonometric functions implied the use of pi. —The preceding unsigned comment was...

still describe more of Lexell's relevant work in spherical geometry/trigonometry though. –jacobolus (t) 00:55, 14 January 2024 (UTC) He was an immigrant...

November 2011 (UTC) Yes. When an angle appears in an equation outside of a trigonometric function, it is always in radians.--Srleffler (talk) 16:48, 1 November...

that came about due to a false grammatical analogy with the inverse trigonometric functions (which are arc functions), which was made possible via ignorance...

indeed is the basis of Copernicus' table of chords which is used in the trigonometric calculations underpinning his revolutionary helio-centric model. Neil...

the mathematical description and the properties between: “Sinus” as trigonometric function. “Wave” as material object, e.g. in fluids. “Sinusoidal signal”...

and triangulation". "Tycho Brahe was familiar with the principles of trigonometry and triangulation (Dreyer 1963 [1890]; Christianson 2000), and had visited...

Construction: In "Cartesian coordinate", the phrase "However, one can obtain a trigonometric equation", does the word "one" count as the weasel word of pronoun,...

calculators offered the grad as well as radians and degrees for their trigonometric functions,[4] but in recent years most offer degrees and radians only...

eccentric anomaly a more convenient relation can be derived using using the trigonometric identity cos ⁡ x = 1 − tan 2 ⁡ x 2 1 + tan 2 ⁡ x 2 {\displaystyle \cos...

side" (to whichever angle or side was under discussion, when discussing trigonometry). The Penguin Dictionary of Mathematics, a British work, contains an...

Lists of integrals#Composed functions. The integrands are products of trigonometric and exponential functions. This is not what I would normally think of...

BSVulturis (talk) 23:59, 12 February 2008 (UTC) My check list for inclusion: Trigonometric parallax Variables: Eclipsing binary, Cepheid variable, RR Lyrae variables...

topics, Index of wave articles, Glossary of tensor theory, Outline of trigonometry, etc.    — The Transhumanist   11:41, 15 March 2019 (UTC) This outline...

Another good example would be the Fourier series, where each term is a trigonometric function. Quietbritishjim (talk) 09:13, 24 October 2014 (UTC) This section...

Pythagorean theorem can be derived from the law of cotangents. But all of trigonometry is derived from the Pythagorean theorem, so this is circular: we can...

I have read), I managed to find new algorithms for calculating the trigonometric function, such that they are not only twice or more effective to compute...

factorization of expressions, as all methods apply when, for example, trigonometric functions are involved. For these reasons, I have started to rewrite...

a link to students in my lower-division college math courses such as Trigonometry; I think an elementary pronunciation guide would be very useful for them...

are adding unnecessary confusion. The VMG uses angle degrees (as in trigonometry), not degrees of the compass. To move the article on, consider: The formula...

has a point. See The Path Between the Seas, the chapter "Adventure by Trigonometry", for a historian's view on Bunau-Varilla. He was quite a character,...

tuning by ear of string instruments you all don't need instruction on trigonometry maths, you can feel the in-phase truth by simply hearing harmonics, so...

(talk) 06:37, 1 December 2025 (UTC) I don't know, I think summing a trigonometric formula over integers and getting the nth prime is a lot simpler and...

removed the Trigonometry template. Notice that the article's hatnote says "See also: Pythagorean trigonometric identity". So, the Trigonometry template can...

Why do appear all these fomulas in red color? --StefanRybo They don't any more! -- TedDunning...

other distances in a survey, by measuring the angles and using basic trigonometry (don't know if that's the right words). There should be some mention...

always denoted by parentheses, but a little reflection on one's days in trigonometry can usually cure that. To be sure, there's nothing at all wrong with...

and scientific, written as additional notations to the diagram. Three trigonometric equations are located in the top left-hand corner of the blast door...

subsidiary angle alpha as defined above. Translating the quartic above into trigonometric terms, the A^2 term becomes 4/sin(alpha). But sin(alpha)=sin(4t)=2s...

that, say, we can tell (apud Plofker) that Indians reverse-engineered trigonometry (having some contact with it in an astronomical/astrological context)...

classical concepts of real numbers, such as the complex variables, trigonometric functions, and algorithms, or of non-classical concepts like constructivism...

Moscow State University, defending a D.Sc. there entitled "The method of trigonometric sums and intermediate value theorems" in 1966.Cite error: The <ref>...

and trigonometric form of polar spherical coordinates, rational and trigonometric form of prolate spheroidal coordinates, rational and trigonometric form...

golden ratio or that it appears in some two dozen formulae for exact trigonometric functions, need to be "evidenced by citation". Learn a bit about basic...

as exponential decay. So trigonometry on latitude and time of day to give a sun's angle to the observer; further trigonometry to calculate the amount of...

subject to our physical sense of geometry. A quick exercise in spherical trigonometry could suggest that passing through the event horizon could place us at...

hope all the math is at the level of high school geometry, algebra, and trigonometry; I don't think this topic needs anything more advanced than that. —David...

examples you might be able to get away with a domain for those which was trigonometric polynomials or suchlike. In general you want something a bit bigger...

and begin to drift into the unknown dream waking ever sleeping our trigonometric minds begin to form the images wich we confirm as real or even potent...

Under the section "A formal definition" under the subsection "Using trigonometric functions" there is a statement that sin(theta)= ... = y/x = -y/-x =...

There are numerous books quoting his deduction differentiation of trigonometric functions at least two of which I have read. ~rAGU (talk) This is not...

accurate if the last section is added: "Solution of triangles" is the main trigonometric problem: to find missing characteristics of a triangle (three angles...

them and it would be impractical it include all of them. For example trigonometric functions already have their own navbox, so it seems redundant to include...

Latin), and it is easy to verify that he does very clearly describe trigonometric interpolation via a DFT and the inverse DFT, and he also very clearly...

Eccentric (mechanism), Crank, Reciprocating motion, Time in physics, Trigonometric functions, and Exponential function. I don't object to including explanation...

bought land. I have read both that surveying required some knowledge of trigonometry or at least advanced mathematics AND also that the only schools where...

...

The page Exact_trigonometric_constants has a bit of a longer discussion on this, but I don't quite get the math. I don't understand how the quadradic...

extent that a Year 4 project tasks students with using their knowledge of trigonometry, matrix algebra, geometric projections and transformations, and computer...

228.217 (talk) 21:15, 10 November 2021 (UTC) Where is the Spherical Trigonometry? What you have here is kindergarten stuff. Useless! 213.233.108.137 (talk)...

triangula, a big table of trigonometric function values; Canonion triangulorum laterum rationalium, another big table of trigonometric function values; and...

extra digits are needed for exponentiation and any of the standard trigonometrical functions because all floating point numbers are rational numbers and...

resolution of the retina, and uses simplified and therefore inexact trigonometrical calculations to arrive at this figure. — Preceding unsigned comment...

written as sums of series of simple functions such as power functions and trigonometric functions. " --L'âne onyme (talk) 16:46, 27 October 2021 (UTC) Besides...

circle (or a conceptual angle measure) and then approximating them as trigonometric polynomials (each term of which represents spinning around the circle...

you the answer. Calculus proofs - The derivatives of exponential and trigonometric functions are known. Use them to prove a result you already know is...

...

used in this article is automatic calculation of distances from the trigonometric parallax, so provided the correct parallax and parallax error is put...

...

said before, is something referred to in a major treatise, Zygmund's Trigonometric Series. It should therefore be given a proper write-up. The whole point...

However, there are some magic constants (2*pi, pi/2, sqrt(2)) used in the trigonometric algorithms (which make sense "as is" algorithmically, so they are unlikely...

Queensland Low‑importance Australia portal Townsville Astronomical Trigonometrical Station is within the scope of WikiProject Australia, which aims to...

14 March 2007 (UTC) I made the connection to the article on exact trigonometric ratios because s q r t 2 + 1 = c o t 22.5 {\displaystyle sqrt{2}+1=cot22...

Pythagorean trigonometric identity and the geometric progression (0.5 + 0.25 + 0.125 + ...) are both = 1. So the Pythagorean trigonometric identity and...

right of page labels the angles alpha, beta, gamma, then the section "Trigonometric proof using the Law of cosine" labels them A, B, C, but the subsequent...

If you still disagree, I would appreciate it if someone would show a trigonometric example (without phasors) of multiplication, and then illustrate how...

there are countless papers deriving DCT algorithms by painful manual trigonometry...and if I look closely at them I've invariably found that they are simply...

that the earth was not the center of the universe and proved it by trigonometric means. Later on, Copernicus restated this theory to the Europeans. If...

a student has the ability to choose one portion of a concept such as trigonometry and then learn another concept such as fractions. This inconsistency...

\left({\frac {x}{\lambda }}-\omega \ t\right)\right]\ ,} which uses the trigonometric formula for the addition of two sine waves, and the approximation Δλ<<λ:...

University since 1980. His research interests included Trigonometric series and Trigonometric integrals, the Riemann zeta function, Dirichlet characters...

basics), you figure the rest out yourself. A very notorious one is trigonometric substituion in calculus. We basically figured it out ourselves. It is...

the topic", in Predicative Arithmetic. Whether Wildberger's "rational trigonometry" is serious or not I haven't looked into enough to offer an opinion,...

you waiting on this. Unfortunately, I'm having a lot of homework in trigonometry right now and I think I probably won't be able to do any heavy lifting...

perhaps other editors have more): Euclidean geometry, Euclidean plane, Trigonometry, Triangle, Circle, Euclidean plane isometry, Rotations and reflections...

the phrase "for those readers who might prefer trigonometry to a geometric argument" and the trigonometric argument isn't explained. --Bob K31416 (talk)...

not rotating but oscillating: then one writes y = ymax sin ωt, where trigonometric ratios are implicitly expressed from angles in radians, as a shortcut...

it would be more easily understood by someone who doesn't understand trigonometry and parametric equations. Haddock420 (talk) 14:50, 25 March 2008 (UTC)...

Construction: In "Cartesian coordinate", the phrase "However, one can obtain a trigonometric equation", does the word "one" count as the weasel word of pronoun,...

from a cube, i.e: indistinguishable, pixel-wise, from one plotted trigonometrically. I don't know what you are talking about. Of course it isn't a true...

convert the lat/long to a pixel coordinate in the image is not doing its trigonometry correct. --Noleander (talk) 22:00, 9 December 2012 (UTC) Also, I've added...

wikipedia (https://en.wikipedia.org/wiki/Trigonometric_functions, esp. 'Summary of relationships between trigonometric functions' there) "tan(x) = sin(x) /...

given lists the proper equations on p15 and 16, and involve hyperbolic trigonometric functions (cosh, sinh, tanh). —Preceding unsigned comment added by 128...

Generations of British children learned the distribution of positive trigonometric values around a circle using the mnemonic All Stations Through Crewe:...

whole fascinating discipline of photogrammetry which brings together trigonometry and photography. sinarau (talk) 22:23, 27 October 2015 (UTC) Hello fellow...

Telenet Processor TP Timor Portugese (East Timor, ISO code; now Tl) TP Trigonometric PointsNakamuradavid (talk) 10:07, 7 June 2019 (UTC) References https://acronyms...

George Everest... He was largely responsible for completion of the Great Trigonometric Survey of India along the meridian arc from the south of India extending...

September 2012 (UTC) i belive that it should be mencioned the use in trigonometry of this theorem since the right triangle incribed has a constant hypotenuse...

, b , c {\displaystyle a,b,c} opposite to the angles. By using the trigonometric function for cosines, I multiplied the length of A C × cos ⁡ ∠ B {\displaystyle...

Norman Wildberger calls it that in his book Divine Proportions: Rational Trigonometry and Universal Geometry. Michael Hardy 19:32, 29 April 2006 (UTC) 1. General...

above in this case...). However, it is confusing when you are using trigonometric functions. Possible rephrasing: Some authors, including Abramowitz and...

I can tell from 1 and 2, the Euler circle or nine-point circle is a trigonometric construction, a circle inscribed in a triangle, and has nothing to do...

spread. If wood plies are of good quality two axis is sufficient. See trigonometry (cosinus and sinus). The "multiple axis" is covered by two axis in that...

\left({\frac {1}{2}}\cdot s\right)\cdot a={\frac {1}{4}}\cdot s\cdot a} Using trigonometric functions, we can solve for s and a: cos ⁡ R = s 2 r {\displaystyle...

from "winding number" section There are at least two ways to avoid trigonometric functions and make the winding-number method much more efficient. One...

fixing over broken areas and are found everywhere in some places- like trigonometry, or anywhere where a lot of infinities occur. - My point is that they...

The trigonometry is indeed worked out, and anybody can see how it works, if you take the time. What is unclear is whether the theoretical trigonometry can...

the trigonometric 'gearing' is working at these angles, to enable SOG above windspeed. As you approach pointing directly downwind, the trigonometric magic...

historically prior (by centuries) to the Almagest, and represent a pre-trigonometrical tradition of mathematical astronomy. –jacobolus (t) 01:19, 27 June...

the context of the triangle inequality and does not mention the word "trigonometry", does not describe what a glide reflection or screw motion is, has no...

multiplication, polynomials, radicals, rationals, subtraction, and trigonometric expressions. Example of non-elementary functions are Bessel functions...

way. It would be good to know if the 17,500 figure was based on survey trigonometry, barometry or how hard a yak was breathing! Then the article says the...

recommend using the regular form (θ) because that's what everyone learns in trigonometry, so it's identifiable as a theta, which some people might already associate...

you waiting on this. Unfortunately, I'm having a lot of homework in trigonometry right now and I think I probably won't be able to do any heavy lifting...

also be used to make a circle: sources: numberphile channel Bueatiful Trigonometry on youtube(June 16, 2020); Youtube: mathloger - secrets of the nothing...

2007 (UTC) That makes sense. I'll try to brush up a bit on hyperbolic trigonometry, and see if I can compute the answer to the original question, i.e. where...

{\displaystyle \pi } is not algebraic, but by using Taylor series,the inverse trigonometric function for Sine you can obtain π {\displaystyle \pi } . It's not mentioned...

editor/reader does not have the applicative knowledge of algebra, geometry and trigonometry necessary to derive that equation from the problem statement, nor know...

apparent size is around 11 arcmin then, unless I'm completely wrong, simple trigonometry says that diameter is around 70000 ly, not 40000 ly.Grausvictor (talk)...

network on an ellipsoid is therefore a set of exercises in spheroidal trigonometry (Euler 1755)." This could hardly be less appropriate: Nowhere is the...

powers of q, or cos(2n+1)z / sin(2n+1)z] have period 2π, just like the trigonometric functions. But a lot of authors, including Whittaker and Watson, gloss...

it learned to interpret complex 3d images from his eyes and do basic trigonometry to reach his mom in 30 minutes of living? No, the deer's mind was preprogrammed...

find the cos 19o. b = 66.19 Before now, we have been able to use the trigonometric functions to solve right triangles. This doesn't do much good because...

the use section it would benefit from an example of ratios and basic trigonometry (it saves a lot of work when using sine, cosine and tangent) as these...

versa, as in the examples we have seen, remained within that specific trigonometric context. The differential “principle” was not generalized to arbitrary...

you're not a "math wizard", then most likely the explanation at Inverse trigonometric functions won't do much for you; however, you can use that for all practical...

thousands of years, however, and plane trigonometry has time and again proven more accurate than spherical trigonometry in determining distances across the...

article like "Identities on GCD and LCM" analogously to, say List of trigonometric identities. I am still missing identity laws like "gcd(0,a) = a, lcm(1...

conceived differential calculus,[citation needed] mathematical analysis, trigonometric series, floating point numbers, and concepts foundational to the overall...

article on Trigonometric function says: "the trigonometric functions are functions of an angle". The functions cos(x) and sin(x) are trigonometric functions...

decvisive result. I did not attempt a general solution using spherical trigonometry. (I think it looked like it was going to get nasty due to the trisected...

the Taylor series for the exponential function, natural logarithm, trigonometric functions, etc. are "important" is something like saying "Water is an...

will have to go. Aryabhata didn't invent the sine, the cosine or any trigonometric function; the Indians made a minor change in the pre-existing Greek...

objects of known height, one could then determine, through the use of trigonometry, one's angular separation from the Earth's mid-point. " 1 Degree = 1/360...

Fine-Structure Constant" Takeuchi (2016) "Multiple-angle formulas of generalized trigonometric functions with two parameters" Osler (2016) "Iterations for the Lemniscate...

the work is cited, and the mention of trigonometry is inaccurate inasmuch as the work has virtually no trigonometry in it. Therefore, I suggest that the...

{8k+1}{12}}\pi i}\,,~k=0,1,2\,.} Using Eulers' formula again together with trigonometric identities such as cos(π/12) = (√2 + √6) / 4, and adding the complex...

when you look at this article on the history of trigonometry : https://www.britannica.com/topic/trigonometry It’s stated : “Several Arab scholars, notably...

of the earth's surface is divided in surveying; broadly: any similar trigonometric operation for finding a position or location by means of bearings from...

Of course, IKAROS is not travelling directly away from Earth, so some trigonometry could be used to determine how much faster than this IKAROS is going...

function of quaternions, via the power series. This would apply to trigonometric and hyperbolic functions, etc. If this is true and notable, should we...

earlier. Simply square and add the two equations for for N and F. The trigonometric terms either cancel or drop out using the Pythagorean identity and you...

unlike the well-known extension for logarithms and therefore inverse trigonometric functions. Finally, your recent "Error Correction" to the article is...

inscribed angle. The term "central angle" is not usual in spherical trigonometry, surely. There you would normally be talking about the sides of a triangle...

(UTC) Ecartometry doesn't seem to be an English word. Triangulation or trigonometry would seem to be closer. I suspect the system is close to an Automatic...

unnecessary in the description of Peterson's opinion. The statement that the trigonometry outlined by Copernicus was "apparently inspired" by Jabir_ibn_Aflah is...

Polynomial, System of linear equations, Trajectory (fluid mechanics), Trigonometric polynomial (only a small part of these articles is about numerical analysis)...

addible terms). -- Hesselp (talk) 00:21, 17 October 2017 (UTC) Zygmund's Trigonometric series uses both. Sławomir Biały (talk) 21:31, 16 October 2017 (UTC)...

dates from 2002 I regret not seeing it before. In particular, note the "trigonometric form" that Olariu comes to for each of his systems without any mention...

they will look at the image and give up because they do not understand trigonometric functions. The image looks interesting, but it is confusing because...

bug) 03:58, 20 December 2017 (UTC) The section Legendre polynomials in trigonometry consists mostly of a big table, which as far as I can tell is just giving...

want to take calculus must have passed algebra and probably had same trigonometry or analytic geometry. The sequential nature of learning where a student...

mathematician and an astronomer. He did considerable work in algebra and trigonometry and discovered zero. And according to me quoting Britannica is not right...

for Professionals. EduGorilla. p. 144. polar coordinates: "SIN (3M): Trigonometric functions and their inverses". Unix Programmer's Manual: Reference Guide...

thing, Bhaskara is dealing with particular increments of particular trigonometric quantities, not with general functions or rates of change in the abstract...

logarithms: a broad, easy and unemcumbered explanation of its use, in trigonometry, as well as in all types of mathematical calculation"--Rafaelgarcia (talk)...

the particular choice of continuous functions you use, it holds for trigonometric polynomials, but not wavelets or piecewise linear functions. 129.16...

restricted applicability, (strictly speaking) incorrect (the inverse trigonometric functions do not have unique definitions) and constitutes original research...

that edges are "straight", following great circle arcs. Also spherical trigonometry is important, if you want to compute information about polygonal faces...

{\displaystyle \theta } , whereas in the previous section (where the important trigonometric identity appears) we construct α {\displaystyle \alpha } from 3 α {\displaystyle...

AC-electricity.Laelele (talk) 10:16, 5 November 2012 (UTC) Mm, they're useful in trigonometry. —Tamfang (talk) 10:23, 5 November 2012 (UTC) Which is still "within"...

(talk) 05:03, 16 December 2008 (UTC) You should be able to use some trigonometry and the Truncated_icosahedron#Canonical_coordinates to figure any of...

trigonometric and hyperbolic functions). A connection with pi is inevitable, as pi is related (via polar coordinates) to -1 and the trigonometric functions...

fundamental does not exist. A wave sound has a spectrum of "sino (trigonometrical) waves", for example if the fundamental has 8hz then the others, called...

avoid square roots and conventional trigonometric functions in certain contexts, notably in rational trigonometry. Dickson polynomials ,Dn(x), are equivalent...

Could be wikilinked to spherical triangle which redirects to spherical trigonometry (the redirect is better in case that ever gets to be an article). Both...

I suspect there may be a page that covers it, but I will add it to trigonometric substitution. Some of the calculus pages on Wikipedia have lots of problems...

151-169. 10. Convergence of series conjugate to a convergent multiple trigonometric series,(Coauthor: J. M. Ash) Bulletin Des Sciences Math´ematiques, 110...

mostly of the calculator's ability to perform/simplify algebraic and trigonometric expressions? Many calculators can do this, and it is certainly not the...

the other. Is the tangent function, which presumably quilifies as a trigonometric function, to be considered continuous? I'm not sure what to say about...

Kronecker's work thought it could be due to Heine's study of arbitrary trigonometric series. Instead of speculating on Kronecker's motives for Heine's article...

hexagon and octagon. But I couldn't help wondering, when was the exact trigonometric formula for sin(36°) first known? (Or chord(72°) equivalently). If I...

Mathematical branches most often used in science include algebra, geometry, and trigonometry, interestingly, invented by astrologers. I'm not sure what exactly this...

slightly different version of that of Minkowski (supplemented by a little trigonometry). It is not based on an actual reading of Varićak's work and is just...

quantities. But I think this rather belongs in Heron's formula or other trigonometry articles rather than here per se. –jacobolus (t) 04:16, 21 January 2023...

al-Biruni had to tell the 'story' in words. He also had to have at hand trigonometric tables. We now turn to the formula in the wiki-article for calculating...

Loscha 21:17, 5 January 2006 (UTC) This is not a contradiction, due to a trigonometric identity that is something like: 2 * sinA * sinB = sin((A+B)/2) + sin((A-B)/2)...

around the science of geoid mapping and the ambiguities that arise in the trigonometry. I'm looking into a way to solve the inverse problem with vector arithmetic...

Brillouin formula is wrong in the argument of the trigonometrical function,please correct this. —The preceding unsigned comment was added by 83.138.224...

14 November 2024 (UTC) Ahlfors, Lars (1966), "The Exponential and Trigonometric Functions", Complex Analysis (2nd ed.), New York: McGraw-Hill, §2.3...

original autors of Math entries here, like Group, Field, Linear algebra, Trigonometric Functions, I think that the new group of articles, are too high level...

source. But i think that the statement "He is credited as having turned trigonometry from a tool used in astronomy into a mathematical subject in its own...

series of BCH formulae, all the same in any representation, just with trigonometric factors appearing vastly different, but actually being the same. YohanN7...

calculus, or other appropriate mathematics above the level of algebra and trigonometry, constitutes the foundation mathematics for baccalaureate programs."...

actually did trigonometry on the castle towers to try and pin down the start even more exactly. The photo that they use for the trigonometry is the one...

not like anyone has to use slide rules or manually interpolate from trigonometric tables anymore. —Steven G. Johnson (talk) 02:17, 5 December 2008 (UTC)...

electronic mechanisms. 6) The discussion of methods included slide rules for trigonometry and logarithms and other areas which are not elementary operations, so...

useless due to large error margin. No surprise there, however, as it is a trigonometric parallex, and at these distances... For more information see the reference...

(UTC) I moved the following here to the talk page. This proof combines trigonometry and the Pythagorean theorem and quite a bit of algebra of real numbers...

(talk) 17:48, 26 April 2015 (UTC) The 0.321 and 0.557 come from a little trigonometry. I'll try to add a sentence clarifying their relationship with the angles...

r, while the second goes from - π/2 to π/2, but when performing the trigonometric substitution, i got the integral from - x/sin θ to x/sin θ. How do I...

baseline for the Great Trigonometrical Survey of India started on 10 April 1802. ==> "The city was the baseline for the Great Trigonometrical Survey of India...

Consequently, I propose that this article be merged into the subsection on trigonometry in the article on Brahmagupta. —David Wilson (talk · cont) 07:40, 13...

high school student, Elinor Ostrom had been discouraged from studying Trigonometry, as girls without top marks in Algebra and Geometry were not allowed...

Memeri (talk • contribs) 18:22, 23 November 2022 (UTC) The section "In trigonometry" says In the case of the double-angle tangent identity, if the tangent...

distinct, but etymologically related meanings: one in geometry, and one in trigonometry. — Preceding unsigned comment added by Pizza Puzzle (talk • contribs)...

saying that "the convolution operator is diagonal with respect to the trigonometric system". --Javalenok (talk) 15:12, 15 November 2010 (UTC) Late comment...

ago I tried to add a formula for the cosine of half an angle (List of trigonometric identities) for the same sort of reason as Jacobolus invokes, but the...

do the calculation then convert it back to base 10. But what about trigonometric functions and square roots? How does a calculator know the answer there...

The "Pentium" edition carved out my heartbreakingly beautilful integer trigonometry and replaced it with float. — Preceding unsigned comment added by 67...

calculus and generalized functions) could be made by elementary algebra and trigonometry. It would take up more space, but may make the article more accessible...

mathematical curiosity and a somewhat jokeful exercice in spherical trigonometry. But many writers think they have, and indeed they have got such piblicity...

constructions, and that reviewed the various properties using basic trigonometry, as, indeed, much of the subject is accessible without the need for calculus...

foundations, number theory, arithmetic, algebra, analysis, geometry and trigonometry, combinatorics; game theory; numerical analysis; optimization; set theory;...

you calculate it for distances up to, say, 100 miles. Chizzlewit's trigonometric formula was predated by the Greek's approximation: height*diameter of...

[[Image:Torus.png|96px]] || [[Image:Koch curve.png|96px]] |- |[[Geometry]] || [[Trigonometry]] || [[Differential geometry]] || [[Topology]] || [[Fractal geometry]]...

org/web/20150309055210/http://www.jacques-laporte.org/Trigonometry.htm to http://www.jacques-laporte.org//Trigonometry.htm Added archive https://web.archive...

historian and perhaps find some resources to support the claim - I think trigonometric tables were tabulated quite early in the history of mathematics, but...

Fourier showed how one could attempt to express general functions as sums trigonometric functions. The attempts to understand the full validity and generality...

geographic knowledge and understanding the boundary, like the rest of the trigonometric survey. I didn’t say that it was official in any sense nor that it changed...

i n ( x ) n {\displaystyle \mathrm {sin} (x)^{n}} notation to raise trigonometric functions to powers. I'm a programmer and thought that () is the function...

'Pedophilia' is like 'quantum physics', or 'operating system', or 'trigonometry', or 'habeas corpus' -- they are all technical jargon of different disciplines...

low-angled lighting in Iceland). It's quite easy to support with spherical trigonometry, but I'm not sure this article is the place for it. In any event, the...

simply the constant value 2π which (just as claimed) appears in numerous trigonometric relations and other mathematical formulas. The real question is whether...

the other is a variant/misspelling of a technical term in a system of trigonometry no longer used. Besides, the move only happened recently. See e.g. Google...

expressed in Chebyshev basis, along the lines of Laurent polynomial or Trigonometric polynomial. But at this point it is what it is. Skew coordinates – this...

sample, though - I just worked it out by measuring a roll and doing some trigonometry to work out how many layers there must be in it, and the error margin...

2024 (UTC) I'm a bit unhappy with this page as it stands. The standard trigonometric substitutions are not given; was there some reason for this? Shouldn't...

than determined empirically during use of the prototype). I am not the trigonometry ninja to do it, but hopefully someone will come along. Regarding your...

true. Can someone fix this? I removed the offending line: "One of the trigonometric formulas Aryabhata developed was sin(n + 1)x - sin nx = sin nx - sin(n...

basic arithmetic, as well as several thousand times slower e.g. for trigonometric functions. To avoid unpleasant surprises for programmers this information...

August 2020 (UTC) I found these today. BBC Two announces new drama, Trigonometry" New track about "dark side of polyamory" Nkofa (talk) 16:49, 22 December...

(UTC) All the equations in this page use 2*pi*omega as the argument of trigonometric functions. This is confusing at best. They should either be written...

point is any relation to Pythagoras found, namely via the Pythagorean trigonometric identity: sin 2 ⁡ θ + cos 2 ⁡ θ = 1   . {\displaystyle \sin ^{2}\theta...

in general? Of analytic geometry? Do "real mathematicians" not say "trigonometry"? The discussion of congruency was apparently ripped out of this page...

takes De Moivre's formula at face value and tries to bring together trigonometric functions and the exponential functions as if they were totally unrelated...

using trigonometric functions. I would even question Loomis's statement that Trigonometry is because the Pythagorean Theorem is. The trigonometric ratios...

mathematics, to include algebra, geometry, intermediate algebra, and trigonometry as a minimum; two years of a foreign language; two years of a laboratory...

calculation of the change in momentum of the ball across the sail a simple trigonometric exercise involving the speed of the ball and the angle it is turned...

and ~6° from the plane defined by the Earth's orbit. If you use simple trigonometry, at Mercury's orbital radius of 0.387 AU, a 1° deviation from the orbital...

traditions of notation for trigonometry functions, but they exist. I'm looking at the 2004 Larson/Hostetler high school Trigonometry textbook. In defining...

them. Quadratics are the essential base of calculus, and geometry and trigonometry also depend on them. Put simply quadratics are the first step into the...

(talk | contribs) 15:36, 3 October 2025 (UTC) Leaving aside the fact that spherical trigonometry had not been developed yet, what do you think the angle even means without...

11:22, 10 November 2018 (UTC) There's an example in the section headed "Trigonometric equations" that surely should help the reader's comprehension, and yet...

as just "log"), and multiples of pi are heaven when exercising your trigonometry muscles. My point with the prime number was that it could be just as...