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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
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