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 9 - Analytic Geometry - Section 9.5 Rotation of Axes; General Form of a Conic - 9.5 Assess Your Understanding - Page 698: 2

Answer

$\sin (2 \theta)=2 \sin (\theta) \cos(\theta)$

Work Step by Step

We know that the double angle formula for $\sin$ is: $\sin (2x) =2 \sin x\cos x$ Here, $x=\theta$ Therefore, our result is: $\sin (2 \theta)=2 \sin (\theta) \cos(\theta)$
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