Algebra and Trigonometry 10th Edition

Published by Cengage Learning
ISBN 10: 9781337271172
ISBN 13: 978-1-33727-117-2

Chapter 6 - 6.1 - Angles and Their Measure - 6.1 Exercises - Page 431: 46

Answer

(a) $-7$ lies in the Fourth Quadrant. (b) $1.5$ lies in the First 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) $\frac{3\pi}{2}\lt-7+2(2\pi)\lt2\pi$ , so $-7$ lies in the Fourth Quadrant. (b) $0\lt1.5\lt\frac{\pi}{2}$ , so $1.5$ lies in the First Quadrant.
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