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: 37

Answer

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

Work Step by Step

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

You can help us out by revising, improving and updating this answer.

Update this answer

After you claim an answer you’ll have 24 hours to send in a draft. An editor will review the submission and either publish your submission or provide feedback.