Precalculus (10th Edition)

Published by Pearson
ISBN 10: 0-32197-907-9
ISBN 13: 978-0-32197-907-0

Chapter 7 - Analytic Trigonometry - 7.4 Trigonometric Identities - 7.4 Assess Your Understanding: 6

Answer

True.

Work Step by Step

We know that $sin$, $csc$, $tan$ are odd functions, which means $f(-\theta)=-f(\theta).$ Hence $sin(-\theta)=-sin(\theta).$ Therefore after adding $sin(\theta)$ to both sides: $sin(-\theta)+sin(\theta)=0.$ Hence it is true.
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