Precalculus (10th Edition)

Published by Pearson
ISBN 10: 0-32197-907-9
ISBN 13: 978-0-32197-907-0

Chapter 7 - Analytic Trigonometry - 7.6 Double-angle and Half-angle Formulas - 7.6 Assess Your Understanding - Page 497: 1

Answer

$\sin^2\theta; \space \space 2\cos^2\theta; \space \space2sin^2\theta$

Work Step by Step

$\cos{2\theta}$ can be written in $3$ different forms, namely: (1) $\cos{2\theta)} = \cos^2\theta-\sin^2\theta$ (2) $\cos{2\theta)} = 2\cos^2\theta-1$ (3) $\cos{2\theta)} = 1-2\sin^2\theta$ Thus, the missing expressions in the given statement, in order of appearance, are: $\sin^2\theta; \space \space 2\cos^2\theta; \space \space2sin^2\theta$
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