Answer
See below.
Work Step by Step
$LHS=\frac{1-tan^2\theta}{sec^2\theta}+1=(1-\frac{sin^2\theta}{cos^2\theta})(cos^2\theta)+1=cos^2\theta-sin^2\theta+1=2cos^2\theta=RHS$
Precalculus (10th Edition)
by Sullivan, Michael
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 - Page 476: 69
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