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: 27

Answer

$60^o$

Work Step by Step

RECALL: To convert an angle in radians to degrees, multiply $\dfrac{180^o}{\pi}$ then simplify. Thus, converting the given angle to degrees gives: $\require{cancel} \dfrac{\pi}{3} \\= \dfrac{\pi}{3} \cdot \dfrac{180^o}{\pi} \\= \dfrac{\cancel{\pi}}{\cancel{3}} \cdot \dfrac{\cancel{180^o}60^o}{\cancel{\pi}} \\=60^o$
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