#### Answer

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

#### Work Step by Step

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

Published by
Pearson

ISBN 10:
013421742X

ISBN 13:
978-0-13421-742-0

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

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