Precalculus (6th Edition)

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

Chapter 7 - Trigonometric Identities and Equations - 7.6 Trigonometric Equations - 7.6 Exercises: 66

Answer

$\displaystyle \frac{\pi}{8}$ , $\displaystyle \frac{5\pi}{6},\ \displaystyle \frac{5\pi}{4}$

Work Step by Step

If $ 0 \leq x < 2\pi$ then $0 \displaystyle \leq \frac{x}{2} < \pi,$ and $x=2\displaystyle \cdot\frac{x}{2}$ so the corresponding values of x are $2\displaystyle \cdot\frac{\pi}{16}=\frac{\pi}{8}$ $2\displaystyle \cdot\frac{5\pi}{12}=\frac{5\pi}{6}$ $2\displaystyle \cdot\frac{5\pi}{8}=\frac{5\pi}{4}$
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