Precalculus (6th Edition)

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

Chapter 7 - Trigonometric Identities and Equations - 7.2 Verifying Trigonometric Identities - 7.2 Exercises: 67

Answer

$\dfrac {sec^4\theta -\tan ^{4}\theta }{sec^2\theta +\tan ^{2}\theta }=\sec^2\theta -\tan ^{2}\theta $

Work Step by Step

$\dfrac {sec^4\theta -\tan ^{4}\theta }{sec^2\theta +\tan ^{2}\theta }=\dfrac {\left( sec^2\theta -\tan ^{2}\theta \right) \left( sec^2\theta +\tan ^{2}\theta \right) }{\left( sec^2\theta +\tan ^{2}\theta \right) }=sec^2\theta -\tan ^{2}\theta $
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