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: 110

Answer

234° in the III quadrant

Work Step by Step

1. 180-270 degrees are in the third quadrant. Therefore, 180$^{\circ}$$\leq$234$^{\circ}$$\leq$270$^{\circ}$ it's in the third quadrant 2. Coterminal angles are always in the same quadrant with original angle, because of full resolutions (2$\pi$) 234° + 360° = 594° 234° - 360° = -126°
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