Precalculus (10th Edition)

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

Chapter 7 - Analytic Trigonometry - 7.1 The Inverse Sine, Cosine, and Tangent Functions - 7.1 Assess Your Understanding - Page 450: 1


domain: set of real numbers range: $[-1,1]$

Work Step by Step

For any value of $\theta$, $-1\leq \sin\theta\leq1$, hence the range is $[-1,1].$ Also, $\sin\theta$ is defined for all $\theta$ on the real numbers. Hence, the domain is the set of real numbers while the range is $[-1,1].$
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