Trigonometry (10th Edition)

Published by Pearson
ISBN 10: 0321671775
ISBN 13: 978-0-32167-177-6

Chapter 6 - Review Exercises - Page 287: 68a

Answer

Using the sketch of the graph, we can see that $sin^{-1}(0.4) \approx 0.41~rad$ Note that $~~0.41~rad~~$ is about $~~23.5^{\circ}$

Work Step by Step

$y = sin^{-1}~x$ Using the sketch of the graph, we can see that $sin^{-1}(0.4) \approx 0.41~rad$ We can express $0.41~rad$ in degrees: $0.41~rad\cdot \frac{180^{\circ}}{\pi~rad} = 23.5^{\circ}$
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