Trigonometry (10th Edition)

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

Chapter 1 - Trigonometric Functions - Section 1.4 Using the Definitions of the Trigonometric Functions - 1.4 Exercises - Page 36: 15

Answer

No

Work Step by Step

By definition, cosecant is the reciprocal of sine. That means they will always have the same sign - either both positive or both negative. If sine of an angle is greater than zero, then cosecant of the same angle also has to be greater that zero.
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