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: 85

Answer

$179^{\circ}$

Work Step by Step

Lowest Positive Coterminal Angle: 0$^{\circ}$$\leq$x$\leq$360$^{\circ}$ Since 539$^{\circ}$ is greater than 360, keep subtracting 360 until it satisifies 0$^{\circ}$$\leq$x$\leq$360$^{\circ}$. 539$^{\circ}$ - 360$^{\circ}$ = 179$^{\circ}$, which satisifies 0$^{\circ}$$\leq$x$\leq$360$^{\circ}$
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