Answer
$\frac{\sqrt 2}{2}$
Work Step by Step
$\sin\theta=\frac{1}{\csc\theta}=\frac{1}{\frac{\sqrt 8}{2}}=\frac{2}{\sqrt 8}$
$=\frac{2}{2\sqrt 2}=\frac{1}{\sqrt 2}=\frac{\sqrt 2}{2}$
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 - 5.2 Trigonometric Functions - 5.2 Exercises - Page 519: 93
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