Answer
$\cos ^{2}\theta $
Work Step by Step
$\sin \theta \left( csc\theta -\sin \theta \right) =\sin \theta \left( \dfrac {1}{\sin \theta }-\sin \theta \right) =1-\sin ^{2}\theta =\cos ^{2}\theta $
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 7 - Trigonometric Identities and Equations - 7.1 Fundamental Identities - 7.1 Exercises - Page 659: 71
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