Answer
$\frac{\sqrt 3}{2}$
Work Step by Step
We know, $\sin(\frac{\pi}{2}+x)$ = $\cos x$
Given that x = $\frac{\pi}{6}$
Then, $\sin(\frac{\pi}{6}+\frac{\pi}{2})$ = $\cos \frac{\pi}{6}$ = $\frac{\sqrt 3}{2}$
Trigonometry 7th Edition
by McKeague, Charles P.; Turner, Mark D.
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: 75
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