## Algebra and Trigonometry 10th Edition

Published by Cengage Learning

# Chapter 6 - 6.1 - Angles and Their Measure - 6.1 Exercises - Page 431: 43

#### Answer

(a)$-\frac{\pi}{5}$ lies in the Fourth Quadrant. (b) $\frac{7\pi}{5}$ lies in the Third Quadrant.

#### Work Step by Step

If $θ$ lies in the: - First Quadrant, then $0\ltθ\lt\frac{\pi}{2}$ - Second Quadrant, then $\frac{\pi}{2}\ltθ\lt\pi$ - Third Quadrant, then $\pi\ltθ\lt\frac{3\pi}{2}$ - Fourth Quadrant, then $\frac{3\pi}{2}\ltθ\lt2\pi$ (a) $-\frac{\pi}{5}+2\pi=\frac{9\pi}{5}$ $\frac{3\pi}{2}\lt\frac{9\pi}{5}\lt2\pi$ , so $-\frac{\pi}{5}$ lies in the Fourth Quadrant. (b) $\pi\lt\frac{7\pi}{5}\lt\frac{3\pi}{2}$, so $\frac{7\pi}{5}$ lies in the Third Quadrant.

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