Trigonometry 7th Edition

Published by Cengage Learning
ISBN 10: 1111826854
ISBN 13: 978-1-11182-685-7

Chapter 3 - Section 3.2 - Radians and Degrees - 3.2 Problem Set - Page 131: 3


a. $\theta$ b. $\pi - \theta$ c. $\theta - \pi$ d. $2\pi - \theta$

Work Step by Step

RECALL: The reference angle $\hat{\theta}$ of an angle $\theta$, based on its terminal side's location, can be found using the following formulas: Quadrant I: $\hat{\theta}=\theta$ Quadrant II: $\hat{\theta} = \pi - \theta$ Quadrant III: $\hat{\theta} = \theta - \pi$ Quadrant IV: $\hat{\theta} = 2\pi - \theta$ Thus, the missing expressions are: a. $\theta$ b. $\pi - \theta$ c. $\theta - \pi$ d. $2\pi - \theta$
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