Precalculus (6th Edition) Blitzer

Published by Pearson
ISBN 10: 0-13446-914-3
ISBN 13: 978-0-13446-914-0

Chapter 5 - Mid-Chapter Check Point - Page 684: 16


Please see below.

Work Step by Step

We verify as follows: $$\csc \theta + \cot \theta =\frac{1}{\sin \theta }+ \frac{\cos \theta }{\sin \theta }=\frac{1+\cos \theta }{\sin \theta }=\frac{(1+\cos \theta )(1- \cos \theta )}{\sin \theta (1-\cos \theta ) }= \frac{1-\cos ^2 \theta }{\sin \theta (1-\cos \theta ) }=\frac{\sin ^2 \theta }{\sin \theta (1-\cos \theta ) }=\frac{\sin \theta }{1-\cos \theta }$$
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