Precalculus (10th Edition)

Published by Pearson
ISBN 10: 0-32197-907-9
ISBN 13: 978-0-32197-907-0

Chapter 7 - Trigonometry and Periodic Functions - 7.1 The Inverse Sine, Cosine, and Tangent Functions - 7.1 Assess Your Understanding - Page 451: 56



Work Step by Step

The value of $\sin{x}$ varies from $-1$ to $1$ only. $-2 \lt-1$, hence $\sin^{-1}(-2)$ is not defined and therefore $\sin(\sin^{-1}(-2))$ is also not defined.
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