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: 90

Answer

160°

Work Step by Step

8440 $^{\circ}$ is a big number compared to 360$^{\circ}$. The best way to find its coterminal angle is to divide initial angle by 360 $^{\circ}$, and find how many times 360 should be subtracted. 8440° ÷360° = 23 $\frac{4}{9}$ 8440° - (360° × 23) = 160°
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