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: 77

Answer

$0$

Work Step by Step

Step 1. Rewrite the equation $3-3cos\theta=1-cos^2\theta \longrightarrow cos^2\theta-3cos\theta+2 \longrightarrow (cos\theta-1)(cos\theta-2)=0$. Thus $cos\theta=1$ or $cos\theta=2$. Step 2. For $cos\theta=1$, we have $\theta=0$ Step 3. For $cos\theta=2$, we have $\theta=none$
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