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**Inverse Trigonometric Functions**

Section 7.6 Inverse Trigonometric Functions

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**THE INVERSE SINE FUNCTION**

Definition: The inverse sine or arcsine function. For −1 ≤ x ≤ 1,

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**COMPOSITION OF SINE AND INVERSE SINE**

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**DIFFERENTIATION OF INVERSE SINE**

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**THE INVERSE COSINE FUNCTION**

Definition: The inverse cosine or arccosine function. For −1 ≤ x ≤ 1,

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**COMPOSITION OF COSINE AND INVERSE COSINE**

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**DIFFERENTIATION OF INVERSE COSINE**

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**THE INVERSE TANGENT FUNCTION**

Definition: The inverse tangent or tangent function. For all real x,

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**COMPOSITION OF TANGENT AND INVERSE TANGENT**

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**DIFFERENTIATION OF INVERSE TANGENT**

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**THE INVERSE SECANT FUNCTION**

Definition: The inverse secant or arcsecant function. For | x | ≥ 1,

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**COMPOSITION OF SECANT AND INVERSE SECANT**

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**DIFFERENTIATION OF INVERSE SINE**

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**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.

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**ANTIDERIVATIVE FORMULAS INVOLVING INVERSE TRIG. FUNCTIONS**

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**GENERALIZED ANTIDERIVATIVE FORMULAS INVOLVING INVERSE TRIG. FUNCTIONS**

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13.7 (part 2) answers 34) y = cos (x – 1.5) 35) y = cos (x + 3/(2π)) 36) y = sin x –3π 37) 38) y = sin (x – 2) –4 39) y = cos (x +3) + π 40) y = sin (x.

13.7 (part 2) answers 34) y = cos (x – 1.5) 35) y = cos (x + 3/(2π)) 36) y = sin x –3π 37) 38) y = sin (x – 2) –4 39) y = cos (x +3) + π 40) y = sin (x.

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