Answer
$\sec (-\theta)=\sec\theta$
Work Step by Step
Since
$\cos(-\theta)=\cos\theta$
$\Longrightarrow$
$ \sec(-\theta)=\frac{1}{\cos(-\theta )}=\frac{1}{\cos\theta}=\sec\theta$
$\sec (-\theta)=\sec \theta$
Trigonometry (11th Edition) Clone
by Lial, Margaret L.; Hornsby, John; Schneider, David I.; Daniels, Callie
Published by
Pearson
ISBN 10:
978-0-13-421743-7
ISBN 13:
978-0-13421-743-7
Chapter 5 - Trigonometric Identities - Section 5.2 Verifying Trigonometric Identities - 5.2 Exercises - Page 208: 8
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