Answer
See below.
Work Step by Step
1. $LHS=sec^4\theta-sec^2\theta=sec^2\theta(sec^2\theta-1)=sec^2\theta(tan^2\theta)$
2. $RHS=tan^4\theta+tan^2\theta=tan^2\theta(tan^2\theta+1)=tan^2\theta(sec^2\theta)=LHS$
Precalculus: Concepts Through Functions, A Unit Circle Approach to Trigonometry (3rd Edition)
by Sullivan III, Michael
Published by
Pearson
ISBN 10:
0-32193-104-1
ISBN 13:
978-0-32193-104-7
Chapter 6 - Analytic Trigonometry - Section 6.4 Trigonometric Identities - 6.4 Assess Your Understanding - Page 497: 35
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