Precalculus (6th Edition)

Published by Pearson
ISBN 10: 013421742X
ISBN 13: 978-0-13421-742-0

Chapter 7 - Trigonometric Identities and Equations - Test - Page 741: 14

Answer

See graph and explanations.

Work Step by Step

1. Graph $f(x)=sin(x)$ (blue), the graph its inverse $y=sin^{-1}(x)$ (red) using the symmetry around line $y=x$ (green). 2. We can identify three points on the inverse as $(-1,-\frac{\pi}{2}),(0,0),(1,\frac{\pi}{2})$ 3. We can identify the domain of $y=sin^{-1}(x)$ as $[-1,1]$ and range as $[-\frac{\pi}{2},\frac{\pi}{2}]$
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