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 626: 43

Answer

$0$

Work Step by Step

Suppose $\theta =\sin (\pi)$ This gives: $\sin^{-1} \theta=\sin^{-1}[\sin(\pi)]$ The inverse property states that $\sin^{-1}(\sin a)=a $ satisfies for every $ a $ in the range $[-\dfrac{\pi}{2},\dfrac{\pi}{2}]$ . But the value $ a=\pi $ does not lie in the range of $[-\dfrac{\pi}{2},\dfrac{\pi}{2}]$. Therefore, we have $ \sin^{-1}[\sin(\pi)]=0$
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