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: 45

Answer

Not defined

Work Step by Step

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