Precalculus: Concepts Through Functions, A Unit Circle Approach to Trigonometry (3rd Edition)

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: 1

Answer

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

Work Step by Step

The trigonometric function $\cos{2\theta}$ can be expressed in three different forms as: (a) $\cos{2\theta)} = \cos^2\theta-\sin^2\theta$ (b) $\cos{2\theta)} = 1-2\sin^2\theta$ (c) $\cos{2\theta)} = 2\cos^2\theta-1$ Therefore, our required missing expressions or words in the given statement are: $$\sin^2\theta; \ 2 \cos^2\theta; \ 2 \sin^2\theta$$
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