Precalculus (6th Edition)

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

Chapter 7 - Trigonometric Identities and Equations - 7.3 Sum and Difference Identities - 7.3 Exercises - Page 679: 37


$-\dfrac {\pi }{6}$

Work Step by Step

$sec\alpha =csc\theta \Rightarrow \alpha +\theta =\dfrac {\pi }{2}\Rightarrow secx=csc\dfrac {2\pi }{3}\Rightarrow x+\dfrac {2\pi }{3}=\dfrac {\pi }{2}\Rightarrow x=-\dfrac {\pi }{6}$
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