Trigonometry (10th Edition)

Published by Pearson
ISBN 10: 0321671775
ISBN 13: 978-0-32167-177-6

Chapter 2 - Acute Angles and Right Triangles - Section 2.2 Trigonometric Functions of Non-Acute Angles - 2.2 Exercises: 6


$\theta$$^{1}$ = 60$^{\circ}$

Work Step by Step

480$^{\circ}$ The reference angle is the smallest angle that can be made between the tangent side of an angle and the x-axis. The reference angle is represented by $\theta$$^{1}$. Since the angle is less that 90$^{\circ}$ the smallest angle that can be made between it and the x-axis is itself. Since the angle is so large we simply subtract 360$^{\circ}$ until we cannot do it again. Therefore: $\theta$$^{1}$ = 480$^{\circ}$ - 360$^{\circ}$ $\theta$$^{1}$ = 120$^{\circ}$ $\theta$$^{1}$ = 180$^{\circ}$ - 120$^{\circ}$ $\theta$$^{1}$ = 60$^{\circ}$
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