Trigonometry 7th Edition

Published by Cengage Learning
ISBN 10: 1111826854
ISBN 13: 978-1-11182-685-7

Chapter 3 - Section 3.2 - Radians and Degrees - 3.2 Problem Set - Page 133: 72



Work Step by Step

Substitute $\frac{\pi}{6}$ to $x$ to obtain: $6\sin{(3x)}= 6\sin{[3(\frac{\pi}{6})]}=6\sin{(\frac{\pi}{2})}$ $\dfrac{\pi}{2}$ is a special angle whose sine value is $1$. Thus, when $x=\frac{\pi}{6}$, $6\sin{(3x)} = 6 \cdot 1=6$
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