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, $cosec^{-1}(-1)= -\frac{π}{2}$
Calculus: Early Transcendentals (2nd Edition)
by Briggs, Bill L.; Cochran, Lyle; Gillett, Bernard
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
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