Answer
$\frac{11\pi}{6}$
Work Step by Step
Using trigonometric identities, we have
$tan(\frac{\theta}{2}+\frac{\pi}{3})=1 \longrightarrow \frac{\theta}{2}+\frac{\pi}{3}=\frac{5\pi}{4} \longrightarrow \theta=\frac{11\pi}{6}$
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 - 7.3 Trigonometric Equations - 7.3 Assess Your Understanding - Page 466: 35
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