Trigonometry 7th Edition

Published by Cengage Learning
ISBN 10: 1111826854
ISBN 13: 978-1-11182-685-7

Chapter 1 - Section 1.5 - More on Identities - 1.5 Problem Set - Page 46: 37

Answer

$\frac{\sin^{2}\theta}{\cos\theta} $

Work Step by Step

Given expression is- $ \frac{1}{\cos\theta} - \cos\theta $ = $ \frac{1}{\cos\theta} - \cos\theta\times\frac{\cos\theta}{\cos\theta} $ = $ \frac{1}{\cos\theta} -\frac{\cos^{2}\theta}{\cos\theta} $ = $ \frac{1 - \cos^{2}\theta}{\cos\theta} $ = $\frac{\sin^{2}\theta}{\cos\theta} $
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