Algebra and Trigonometry 10th Edition

Published by Cengage Learning
ISBN 10: 9781337271172
ISBN 13: 978-1-33727-117-2

Chapter 7 - Chapter Test - Page 554: 11


$2 (\sin 5 \theta +\sin \theta)$

Work Step by Step

By using the Sum and Difference formulas: $\sin (a+b)=\sin a \cos b +\cos a \sin b$ and $\sin (a-b)=\sin a \cos b -\cos a \sin b$ Now, we will write the expression: Therefore,$\dfrac{4}{2}[\sin 3 \theta +2 \theta +\sin 3 \theta-2 \theta]$ or, $=2 (\sin 5 \theta +\sin \theta)$
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