In mathematics, trigonometric substitution is the substitution of trigonometric functions for other expressions. One may use the trigonometric identities to simplify certain integrals containing radical expressions:
- If the integrand contains a2 − x2, let
-
- and use the identity
- If the integrand contains a2 + x2, let
-
- and use the identity
- If the integrand contains x2 − a2, let
-
- and use the identity
Read more about Trigonometric Substitution: Substitutions That Eliminate Trigonometric Functions
Famous quotes containing the word substitution:
“Virtue is the adherence in action to the nature of things, and the nature of things makes it prevalent. It consists in a perpetual substitution of being for seeming, and with sublime propriety God is described as saying, I A—.”
—Ralph Waldo Emerson (1803–1882)