Precalculus (6th Edition)

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

Chapter 6 - The Circular Functions and Their Graphs - 6.2 The Unit Circle and Circular Functions - 6.2 Exercises - Page 588: 54

Answer

$\color{blue}{\approx 2 \text{ radians} \\\approx 1.2 \text{ radians}}$

Work Step by Step

To approximate the angle whose sine value is $-0.95$, look up in the given figure the angle/s whose terminal side crosses the unit circle along the line $y=-0.95$. Notice that the angles $2$ radians and $1.2$ radians cross the unit circle along the line $y=-0.95$. Thus, the angles are approximately: $\color{blue}{2 \text{ radians} \\1.2 \text{ radians}}$
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