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 589: 62



Work Step by Step

RECALL: The quadrantal angles are (for clockwise movement from the positive x-axis): Positive x-axis: $0$ radians; Negative y-axis: $-\frac{3.14}{2} = -1.57$ radians; Negative x-axis: $-3.14$ radians; Positive y-axis: $-4.61$ radians Positive x-axis: $-6.28$ radians Thus, when moving clockwise from the positive x-axis, the angle $-6,29$ radians is right after the positive x-axis after one rotation. This means that the angle is in Quadrant IV. With $\tan{\theta}=\frac{y}{x}$, and since $x$ is positive and $y$ is negative in Quadrant IV, then $\tan{(-6.29)}$ must be negative.
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