Answer
$\frac{3\pi}{4}, \frac{7\pi}{4}$
Work Step by Step
Step 1. $sin(2\theta)=-1 \longrightarrow 2\theta=2k\pi+\frac{3\pi}{2} \longrightarrow \theta=k\pi+\frac{3\pi}{4}$
Step 2. Within $[0,2\pi)$, we have $\theta=\frac{3\pi}{4}, \frac{7\pi}{4}$
Precalculus (10th Edition)
by Sullivan, Michael
Published by
Pearson
ISBN 10:
0-32197-907-9
ISBN 13:
978-0-32197-907-0
Chapter 7 - Analytic Trigonometry - Chapter Review - Review Exercises - Page 507: 66
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