Trigonometry (10th Edition)

Published by Pearson
ISBN 10: 0321671775
ISBN 13: 978-0-32167-177-6

Chapter 3 - Radian Measure and the Unit Circle - Section 3.3 The Unit Circle and Circular Functions - 3.3 Exercises - Page 117: 41

Answer

$\theta\approx 2.3 $ rad$ \quad$ and$ \quad \theta\approx$ 4 rad

Work Step by Step

For any real number $s$ represented by a directed arc on the unit circle, $\sin s=y\quad \cos s=x \quad \displaystyle \tan s=\frac{y}{x} (x\neq 0)$ ------------- On the unit circle, 2 points have x-coordinates equal to $-0.65$. These are encircled on the image below. These points represent directed arcs for angles $\theta\approx 2.3 $rad$ \quad$ and$ \quad \theta\approx$ 4 rad
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