Answer
$240^\circ, 300^\circ$
Work Step by Step
Given $csc\theta=-\frac{2\sqrt 3}{3}$ and $\theta\in[0,360^\circ)$, we have $sin\theta=\frac{1}{csc\theta}=-\frac{\sqrt 3}{2}$, and we can find $\theta=240^\circ, 300^\circ$
Precalculus (6th Edition)
by Lial, Margaret L.; Hornsby, John; Schneider, David I.; Daniels, Callie
Published by
Pearson
ISBN 10:
013421742X
ISBN 13:
978-0-13421-742-0
Chapter 5 - Trigonometric Functions - Test - Page 563: 21
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