Precalculus (10th Edition)

Published by Pearson
ISBN 10: 0-32197-907-9
ISBN 13: 978-0-32197-907-0

Chapter 7 - Analytic Trigonometry - 7.3 Trigonometric Equations - 7.3 Assess Your Understanding - Page 467: 62

Answer

$\pi,\frac{\pi}{3},\frac{5\pi}{3}$

Work Step by Step

Step 1. Factor to get $(cos\theta+1)(2cos\theta-1)=0$. Thus $cos\theta=-1$ or $cos\theta=\frac{1}{2}$ Step 2. For $cos\theta=-1$, we have $\theta=\pi$ Step 3. For $cos\theta=\frac{1}{2}$, we have $\theta=\frac{\pi}{3},\frac{5\pi}{3}$
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