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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,

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Presentation on theme: "Section 7.6 Inverse Trigonometric Functions. THE INVERSE SINE FUNCTION Definition: The inverse sine or arcsine function. For −1 ≤ x ≤ 1,"— Presentation transcript:

1 Section 7.6 Inverse Trigonometric Functions

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

3 COMPOSITION OF SINE AND INVERSE SINE

4 DIFFERENTIATION OF INVERSE SINE

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

6 COMPOSITION OF COSINE AND INVERSE COSINE

7 DIFFERENTIATION OF INVERSE COSINE

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

9 COMPOSITION OF TANGENT AND INVERSE TANGENT

10 DIFFERENTIATION OF INVERSE TANGENT

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

12 COMPOSITION OF SECANT AND INVERSE SECANT

13 DIFFERENTIATION OF INVERSE SINE

14 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.

15 ANTIDERIVATIVE FORMULAS INVOLVING INVERSE TRIG. FUNCTIONS

16 GENERALIZED ANTIDERIVATIVE FORMULAS INVOLVING INVERSE TRIG. FUNCTIONS


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