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 - Page 659: 49


$\pm \sqrt {sec^{2}x-1}$

Work Step by Step

$\tan x=\dfrac {\sin x}{\cos x}=\pm \dfrac {\sqrt {1-\cos ^{2}x}}{\cos x}=\pm \sqrt {\dfrac {1}{\cos ^{2}x}-1}=\pm \sqrt {sec^{2}x-1}$
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