Calculus: Early Transcendentals (2nd Edition)

Published by Pearson
ISBN 10: 0321947347
ISBN 13: 978-0-32194-734-5

Chapter 1 - Functions - 1.4 Trigonometric Functions and Their Inverse - 1.4 Exercises - Page 48: 70

Answer

$-\frac{π}{2}$

Work Step by Step

Let $cosec^{-1}(-1)= y$ Then, cosec y = -1 = $-cosec(\frac{π}{2})= cosec(-\frac{π}{2})$ ⇒y= $-\frac{π}{2}$ Therefore, $cosec^{-1}(-1)= -\frac{π}{2}$
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