Functions Modeling Change: A Preparation for Calculus, 5th Edition

Published by Wiley
ISBN 10: 1118583191
ISBN 13: 978-1-11858-319-7

Chapter 7 - Trigonometry and Periodic Functions - 7.3 Radians and Arc Length - Exercises and Problems for Section 7.3 - Exercises and Problems - Page 284: 5

Answer

$\frac{5\pi}{6}$ rad.

Work Step by Step

Use the conversion $360^\circ=2\pi \, \textrm{rad.}$ to simplify the expression to $$150^\circ \cdot \frac{2\pi \, \textrm{rad.}}{360^\circ}=\frac{150\pi}{180} \, \textrm{rad.}=\frac{5\pi}{6} \, \textrm{rad.}$$
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