Trigonometry (11th Edition) Clone

Published by Pearson
ISBN 10: 978-0-13-421743-7
ISBN 13: 978-0-13421-743-7

Chapter 2 - Acute Angles and Right Triangles - Section 2.2 Trigonometric Functions of Non-Acute Angles - 2.2 Exercises - Page 62: 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$^{\circ}$ = -$\sqrt2$
Update this answer!

You can help us out by revising, improving and updating this answer.

Update this answer

After you claim an answer you’ll have 24 hours to send in a draft. An editor will review the submission and either publish your submission or provide feedback.