Precalculus (6th Edition)

Published by Pearson
ISBN 10: 013421742X
ISBN 13: 978-0-13421-742-0

Chapter 7 - Trigonometric Identities and Equations - 7.3 Sum and Difference Identities - 7.3 Exercises: 93

Answer

$\sin 2x=2\sin x\cos x$

Work Step by Step

Start with the left side: $\sin 2x$ $=\sin(x+x)$ Use the sum identity for sine on page 673: $=\sin x\cos x+\cos x\sin x$ $=\sin x\cos x+\sin x\cos x$ $=2\sin x\cos x$ Since this equals the right side, the identity has been proven.
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