Explanation Given: The function is t ( y ) = sin − 1 ( tan y ) and g d ( y ) = tan − 1 ( sinh y ) . Formula used: Inverse trigonometric formulas: tan { tan − 1 ( x ) } = x sin { sin − 1 ( x ) } = x Calculation: The function is t ( y ) = sin − 1 ( tan y ) . … (1) We have to prove that g d [ t ( y ) ] = t [ g d ( y ) ] = y . Take g d [ t ( y ) ] ...

4th Edition

ISBN: 9781319050733

Author: Rogawski

Publisher: MAC HIGHER

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Question

Chapter 8.4, Problem 49E

To determine

Prove that $t (y)$ is the inverse of $g d (y)$ for $0 \leq y \leq \frac{π}{2}$ .

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Chapter 8.4, Problem 48E

Chapter 8.4, Problem 50E

Chapter 8 Solutions

CALCULUS (CLOTH)

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