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: 73



Work Step by Step

Substitute $\frac{\pi}{6}$ to $x$ to obtain: $3-\sin{x}= 3-\sin{(\frac{\pi}{6})}$ $\dfrac{\pi}{6}$ is a special angle whose sine value is $\frac{1}{2}$. Thus, when $x=\frac{\pi}{6}$, $3-\sin{x} = 3- \frac{1}{2}=\frac{6}{2} -\frac{1}{2} = \frac{5}{2} = 2.5$
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