# Inverse Trigonometric Functions

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Inverse Trigonometric Functions
Section 7.6 Inverse Trigonometric Functions

THE INVERSE SINE FUNCTION
Definition: The inverse sine or arcsine function. For −1 ≤ x ≤ 1,

COMPOSITION OF SINE AND INVERSE SINE

DIFFERENTIATION OF INVERSE SINE

THE INVERSE COSINE FUNCTION
Definition: The inverse cosine or arccosine function. For −1 ≤ x ≤ 1,

COMPOSITION OF COSINE AND INVERSE COSINE

DIFFERENTIATION OF INVERSE COSINE

THE INVERSE TANGENT FUNCTION
Definition: The inverse tangent or tangent function. For all real x,

COMPOSITION OF TANGENT AND INVERSE TANGENT

DIFFERENTIATION OF INVERSE TANGENT

THE INVERSE SECANT FUNCTION
Definition: The inverse secant or arcsecant function. For | x | ≥ 1,

COMPOSITION OF SECANT AND INVERSE SECANT

DIFFERENTIATION OF INVERSE SINE

The definitions for inverse cosecant and inverse cotangent are on page 458 of the text.
The derivatives of inverse cosecant and inverse cotangent are also on page 459 of the text.

ANTIDERIVATIVE FORMULAS INVOLVING INVERSE TRIG. FUNCTIONS

GENERALIZED ANTIDERIVATIVE FORMULAS INVOLVING INVERSE TRIG. FUNCTIONS