Precalculus (10th Edition)

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

Chapter 6 - Trigonometric Functions - Chapter Review - Chapter Test - Page 436: 18

Answer

$-\frac{3}{5}$

Work Step by Step

We know that $\sin$, $\csc$, $\tan$ are odd functions, which means $f(-\theta)=-f(\theta).$ We also know that $\cos$, $\sec$, are even functions, which means $f(-\theta)=f(\theta).$ Since sine is an odd function, then $f(-a) = \sin{(-a)}=-\sin{a}=-\frac{3}{5}$
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