Answer
See below.
Work Step by Step
Based on the given conditions, we have:
$LHS=(1-sin^2\theta)(1+tan^2\theta)=(cos^2\theta)(sec^2\theta)=1=RHS$
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 8 - Polar Coordinates; Vectors - Section 8.5 The Dot Product - 8.5 Assess Your Understanding - Page 637: 49
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