Precalculus (6th Edition)

Published by Pearson
ISBN 10: 013421742X
ISBN 13: 978-0-13421-742-0

Chapter 6 - The Circular Functions and Their Graphs - 6.1 Radian Measures - 6.1 Exercises - Page 573: 26

Answer

$-10\pi$

Work Step by Step

RECALL: To convert an angle in degrees to radians, multiply $\dfrac{\pi}{180^o}$ then simplify. Thus, converting the given angle to radians gives: $\require{cancel} -1800^o \\= -1800^o \cdot \dfrac{\pi}{180^o} \\= -\cancel{1800^o}^{10} \cdot \dfrac{\pi}{\cancel{180^o}} \\=-10\pi$
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