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: 109

Answer

174° in the II quadrant

Work Step by Step

1. 90-180 degrees in the second quadrant. Therefore 90$^{\circ}$$\leq$174$^{\circ}$$\leq$180$^{\circ}$ its in the second quadrant 2. Coterminal angles always in the same quadrant with original angle, because of full resolutions (2$\pi$) 174° + 360° = 534° 174° - 360° = -186°
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