Answer
See below.
Work Step by Step
$LHS=\frac{csc\theta}{1+csc\theta}
=\frac{1/sin\theta}{1+1/sin\theta}
=\frac{1}{sin\theta+1}$
$RHS=\frac{1-sin\theta}{cos^2\theta}
=\frac{1-sin\theta}{1-sin^2\theta}
=\frac{1}{1+sin\theta}
=LHS$
Precalculus: Concepts Through Functions, A Unit Circle Approach to Trigonometry (3rd Edition)
by Sullivan III, Michael
Published by
Pearson
ISBN 10:
0-32193-104-1
ISBN 13:
978-0-32193-104-7
Chapter 6 - Analytic Trigonometry - Chapter Review - Review Exercises - Page 527: 33
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