Precalculus (10th Edition)

Published by Pearson
ISBN 10: 0-32197-907-9
ISBN 13: 978-0-32197-907-0

Chapter 6 - Trigonometric Functions - 6.1 Angles and Their Measure - 6.1 Assess Your Understanding: 54

Answer

$75°$

Work Step by Step

To convert from radians to degrees, the measurement in radians must be multiplied by $\frac{180°}{\pi}$. Therefore $\frac{5\pi}{12}$ radians $= \frac{5\pi}{12} \times \frac{180°}{\pi}$ $=\frac{900°}{12}$ $=75°$
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