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: 6

Answer

$sec^{2}\theta $

Work Step by Step

$\tan ^{2}\theta +1=\dfrac {\sin ^{2}\theta }{\cos ^{2}\theta }+1=\dfrac {\sin ^{2}\theta +\cos ^{2}\theta }{\cos ^{2}\theta }=\dfrac {1}{\cos ^{2}\theta }=sec^{2}\theta $
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