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: 72

Answer

$\frac{\pi}{4},\frac{3\pi}{4},\frac{5\pi}{4},\frac{7\pi}{4}$

Work Step by Step

Step 1. Rewrite the equation $tan\theta=\frac{1}{tan\theta}$ or $tan\theta=\pm1$. Step 2. $tan\theta= 1$, we have $\theta=\frac{\pi}{4},\frac{5\pi}{4}$ Step 3. $tan\theta=-1$, we have $\theta=\frac{3\pi}{4},\frac{7\pi}{4}$
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