Trigonometry (10th Edition)

Published by Pearson

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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