Algebra and Trigonometry 10th Edition

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

Chapter 6 - Review Questions - Page 501: 60

Answer

$sin(\frac{5\pi}{6})=\frac{1}{2}$ $cos(\frac{5\pi}{6})=-\frac{\sqrt 3}{2}$ $tan(\frac{5\pi}{6})=-\frac{\sqrt 3}{3}$

Work Step by Step

Let $θ'$ be the reference angle. We must have that $0\leqθ'\lt2\pi$ But, since $0\leqθ=\frac{5\pi}{6}\lt2\pi$, it is not necessary to find a reference angle. $sin(\frac{5\pi}{6})=\frac{1}{2}$ $cos(\frac{5\pi}{6})=-\frac{\sqrt 3}{2}$ $tan(\frac{5\pi}{6})=-\frac{\sqrt 3}{3}$
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