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: 41

Answer

$\csc$ -855$^{\circ}$ = -$\sqrt2$

Work Step by Step

$\csc$ -855$^{\circ}$ First, lets find the coterminal angle. -855$^{\circ}$ - 3(360$^{\circ}$) = 225$^{\circ}$ Next, we find the reference angle. $\theta$$^{1}$ = 225$^{\circ}$ - 180$^{\circ}$ = 45$^{\circ}$ Since the coterminal angle is in Quadrant III, $\csc$ is negative. Therefore: $\csc$ 45$^{\circ}$ = -$\sqrt2$
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