Answer
$\frac{\sqrt 6}{4}$
Work Step by Step
1.Reciprocal identity
$\sin\theta=\frac{1}{\csc\theta}$
2. Substitute the given value:
$\sin\theta=\frac{1}{\frac{\sqrt {24}}{3}}=\frac{3}{\sqrt {24}}=\frac{\sqrt {24}}{8}=\frac{\sqrt 6}{4}$
Trigonometry (10th Edition)
by Lial, Margaret L.; Hornsby, John; Schneider, David I.; Daniels, Callie
Published by
Pearson
ISBN 10:
0321671775
ISBN 13:
978-0-32167-177-6
Chapter 1 - Trigonometric Functions - Section 1.4 Using the Definitions of the Trigonometric Functions - 1.4 Exercises - Page 36: 10
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