Cobb was born in North Tarrytown, New York; he graduated from New York University's Tisch School of the Arts in 1987. A classically trained actor, he appeared in a number of Shakespearean productions in the New York area before breaking into television in the mid 1990s.[1] One of his first movies was the 1995 film Eyes Beyond Seeing[6] in which he plays a mental patient who claims to be Jesus Christ.
In 1996, Cobb was named on People magazine's annual list of the "50 most beautiful people".[7]
In 1999, Cobb was in two episodes of the Beastmaster television series,[8] portraying a character very similar to his character from Andromeda.
He left the Andromeda TV series at the start of the fourth season,[9] citing dissatisfaction over the development of his character and went back to stage productions.
Cobb's 2015 play American Moor explores the experiences of Black actors performing texts as written and directed by white writers and directors.[10] The play garnered great academic acclaim.[11] The play debuted Off-Broadway at the Cherry Lane Theatre in August 2019.[12]