Precalculus (6th Edition) Blitzer

Published by Pearson
ISBN 10: 0-13446-914-3
ISBN 13: 978-0-13446-914-0

Chapter 4 - Section 4.7 - Inverse Trigonometric Functions - Exercise Set - Page 627: 91

Answer

Domain : $[-1,1]$ and Range: $\dfrac{\pi}{2}$

Work Step by Step

The domain of both inverse functions is restricted to $[-1,1]$. The range is the sum of the two angles which give the same value for cosine and sine. This sum is always equal to $\dfrac{\pi}{2}$. Therefore, we have the Domain and Range of the function as follows: Domain : $[-1,1]$ and Range: $\dfrac{\pi}{2}$
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