Answer
See below.
Work Step by Step
$LHS=\frac{csc\theta}{1+csc\theta}\times\frac{sin\theta}{sin\theta}=\frac{1}{sin\theta+1}$
$RHS=\frac{1-sin\theta}{1-sin^2\theta}=\frac{1}{1+sin\theta}=LHS$
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 - Chapter Review - Review Exercises - Page 506: 33
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