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 628: 119

Answer

This does not make sense.

Work Step by Step

Please note that the identity $\sin ^{-1}(\sin x)=x$ holds only for $x \in [-\frac{\pi }{2}, \frac{\pi }{2}]$. But, $\frac{5\pi }{4} \not \in [-\frac{\pi }{2}, \frac{\pi }{2}]$. (In fact, $\frac{5 \pi }{4}$ lies outside of the range of the function $\sin ^{-1}$, $[-\frac{\pi }{2}, \frac{\pi }{2}]$.)
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