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 - Page 362: 61


$-0.70\text{ radians}$

Work Step by Step

Recall that $2\pi\text{rad}=360^\circ$. Hence, $1^\circ=\frac{\pi\text{ radians}}{180^\circ}$. Therefore: $-40^{\circ}=-40 \cdot 1^{\circ}=-40\cdot\frac{\pi\text{ radians}}{180^\circ}\approx-0.70 \text{ radians}$
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