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: 44

Answer

$\cot$ 2280$^{\circ}$ = -$\frac{\sqrt3}{3}$

Work Step by Step

$\cot$ 2280$^{\circ}$ First, lets find the coterminal angle. 2280$^{\circ}$ - 6(360$^{\circ}$) = 120$^{\circ}$ Next, we find the reference angle. $\theta$$^{1}$ = 180$^{\circ}$ - 120$^{\circ}$ = 60$^{\circ}$ Since the coterminal angle is in Quadrant II, $\cot$ is negative. Therefore: $\cot$ 60$^{\circ}$ = -$\frac{1}{\sqrt3}$ = -$\frac{\sqrt3}{3}$
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