Answer
See below.
Work Step by Step
$LHS=a^2sin^2\theta+2absin\theta cos\theta+b^2cos^2\theta+a^2cos^2\theta-2absin\theta cos\theta+b^2sin^2\theta=a^2(sin^2\theta+cos^2\theta)+b^2(sin^2\theta+cos^2\theta)=a^2+b^2=RHS$
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: 91
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