Algebra and Trigonometry 10th Edition

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

Chapter 6 - 6.3 - Trigonometric Functions of Any Angle - 6.3 Exercises - Page 454: 95

Answer

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

Work Step by Step

Using the unit circle when t = $\frac{5\pi}{6}$. The (x,y) point is ($-\frac{\sqrt 3}{2}$,$\frac{1}{2}$) Using the coordinate points: cos($\frac{5\pi}{6}$) = $-\frac{\sqrt 3}{2}$ sin($\frac{5\pi}{6}$) = $\frac{1}{2}$ tan($\frac{5\pi}{6}$) = $-\frac{1}{\sqrt 3}$
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