Answer
See below
Work Step by Step
$LHS=4a^2sin^2\theta cos^2\theta+a^2cos^4\theta-2a^2sin^2\theta cos^2\theta+a^2sin^4\theta=a^2cos^4\theta+2a^2sin^2\theta cos^2\theta+a^2sin^4\theta=a^2(cos^2\theta+sin^2\theta)^2=a^2=RHS$
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 477: 92
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