Trigonometry (10th Edition)

Published by Pearson
ISBN 10: 0321671775
ISBN 13: 978-0-32167-177-6

Chapter 1 - Trigonometric Functions - Section 1.1 Angles - 1.1 Exercises - Page 9: 114

Answer

-159$^{\circ}$ in the III quadrant

Work Step by Step

1. Coterminal angles always in the same quadrant with original angle, because of full resolutions (2π) -159° + 360° = 201° -159° - 360° = -519° 2. 180-270 degrees in the third quadrant. Therefore 180$^{\circ}$≤201$^{\circ}$≤270$^{\circ}$ its in the third quadrant.
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