Precalculus (6th Edition)

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

Chapter 7 - Trigonometric Identities and Equations - 7.1 Fundamental Identities - 7.1 Exercises: 75

Answer

$-\sec\theta $

Work Step by Step

$\dfrac {csc\theta }{\cot \left( -\theta \right) }=\dfrac {1}{\dfrac {\sin \theta \cos \left( -\theta \right) }{\sin \left( -\theta \right) }}=\dfrac {-\sin \theta }{\sin \theta \cos \theta }=-\dfrac {1}{\cos \theta }=-sec\theta $
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