Calculus 8th Edition

Published by Cengage
ISBN 10: 1285740629
ISBN 13: 978-1-28574-062-1

Chapter 6 - Inverse Functions - 6.6 Inverse Trigonometric Functions - 6.6 Exercises - Page 481: 1

Answer

a) $\frac{\pi}{6}$ b) $\pi$

Work Step by Step

a) Let $\sin^{-1}(0.5)=y$. Then, $\sin y= 0.5= \sin \frac{\pi}{6}$. $⇒y= \frac{\pi}{6}$. b) Let $\cos^{-1}(-1)=y$. Then, $\cos y= -1= \cos \pi$. $⇒ y= \pi$
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