Answer
$\frac{\pi}{2}$
Work Step by Step
Using trigonometric identities, we have
$5csc\theta-3=2 \longrightarrow \frac{5}{sin\theta}=5 \longrightarrow sin\theta=1 \longrightarrow \theta=\frac{\pi}{2}$
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: 20
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