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: 63

Answer

$-\cot \theta +1$

Work Step by Step

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