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: 55

Answer

$\color{blue}{\approx 0.8 \text{ radians} \\\approx 2.4 \text{ radians}}$

Work Step by Step

To approximate the angle whose sine value is $0.7$, look up in the given figure the angle/s whose terminal side crosses the unit circle along the line $y=0.7$. Notice that the angles $0.8$ radians and $2.4$ radians cross the unit circle along the line $y=0.7$. Thus, the angles are approximately: $\color{blue}{0.8 \text{ radians} \\2.4 \text{ radians}}$
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