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 119: 78

Answer

Since $x$ is positive and $y$ is negative, an angle of 49 radians is in the fourth quadrant.

Work Step by Step

$\frac{x}{r} = cos~\theta$ $\frac{x}{r} = cos~(49~rad)$ $\frac{x}{r} = 0.30$ Since $r$ is always positive, $x$ is positive. $\frac{y}{r} = sin~\theta$ $\frac{y}{r} = sin~(49~rad)$ $\frac{y}{r} = -0.95$ Since $r$ is always positive, $y$ is negative. Since $x$ is positive and $y$ is negative, an angle of 49 radians is in the fourth quadrant.
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