Answer
False
Work Step by Step
Recall the trigonometric identity:
$\sin (2 \ \theta)= 2 \sin \theta \cos \theta$
Thus, $\sin (2 \ \theta) \ne \sin^2 \theta -\cos^2 \theta$
Hence, the given statement is $\bf{False}$.
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 6.6 Double-angle and Half-angle Formulas - 6.6 Assess Your Understanding - Page 518: 5
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