Trigonometry (10th Edition)

Published by Pearson
ISBN 10: 0321671775
ISBN 13: 978-0-32167-177-6

Chapter 5 - Trigonometric Identities - Section 5.1 Fundamental Identities - 5.1 Exercises - Page 196: 91

Answer

(a) $y = -sin(4x)$ (b) $y = cos(2x)$ (c) $y = 5~sin(3x)$

Work Step by Step

From the negative-angle identities: $sin~(-\theta) = -sin~(\theta)$ $cos~(-\theta) = cos~(\theta)$ (a) $y = sin(-4x) = -sin(4x)$ (b) $y = cos(-2x) = cos(2x)$ (c) $y = -5~sin(-3x)$ $y = (-5)[-sin(3x)]$ $y = 5~sin(3x)$
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