Answer
$\frac{3\pi}{8}, \frac{7\pi}{8},\frac{11\pi}{8}, \frac{15\pi}{8}$
Work Step by Step
$tan(2\theta)=-1$,
$2\theta=k\pi+\frac{3\pi}{4}$(k is an integer),
$\theta=\frac{3\pi}{8}, \frac{7\pi}{8},\frac{11\pi}{8}, \frac{15\pi}{8}$ in $[0,2\pi)$.
Precalculus: Concepts Through Functions, A Unit Circle Approach to Trigonometry (3rd Edition)
by Sullivan III, Michael
Published by
Pearson
ISBN 10:
0-32193-104-1
ISBN 13:
978-0-32193-104-7
Chapter 6 - Analytic Trigonometry - Section 6.3 Trigonometric Equations - 6.3 Assess Your Understanding - Page 488: 20
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