Precalculus: Concepts Through Functions, A Unit Circle Approach to Trigonometry (3rd Edition)

Published by Pearson
ISBN 10: 0-32193-104-1
ISBN 13: 978-0-32193-104-7

Chapter 6 - Analytic Trigonometry - Chapter Review - Review Exercises - Page 527: 2



Work Step by Step

We need to find: $\cos^{-1}(0)$ The inverse cosine function has the domain $0\le \theta \le \pi$. We are looking for the angle whole cosine value equals zero. We know from the unit circle that $\cos (\dfrac{\pi}{2})=0$ Since $\frac{\pi}{2}$ lines in the domain $0\le \theta \le \pi$, then we have: $\cos^{-1}(0)=\dfrac{\pi}{2}$
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