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: 92

Answer

200°

Work Step by Step

1. -8440 $^{\circ}$ is a big negative number compared to 360. The best way to find its smallest positive coterminal angle is to divide initial angle by 360$^{\circ}$, and find how many times 360 should be added. However, in this case of negative number it should be rounded favoring larger negative number (24) -8440° ÷360° = -23$\frac{4}{9}$ 2. -8440° +24×360° = 200°
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