Precalculus (6th Edition)

Published by Pearson
ISBN 10: 013421742X
ISBN 13: 978-0-13421-742-0

Chapter 7 - Trigonometric Identities and Equations - Chapter 7 Test Prep - Review Exercises: 101

Answer

$-\dfrac {1}{2}$

Work Step by Step

$csc^{-1}x=\cos ^{-1}\dfrac {1}{x};$ $\cos \left( \cos ^{-1}x\right) =x$ $\Rightarrow \cos \left( csc-1\left( -2\right) \right) =\cos \left( \cos ^{-1}\left( \dfrac {1}{-2}\right) \right) =-\dfrac {1}{2}$
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