Answer
$\dfrac {5\pi }{12}$
Work Step by Step
$\cos \alpha =\sin \theta \Rightarrow \alpha +\theta =\dfrac {\pi }{2}\Rightarrow \cos x=\sin \dfrac {\pi }{12}\Rightarrow x+\dfrac {\pi }{12}=\dfrac {\pi }{2}\Rightarrow x=\dfrac {5\pi }{12}$
Precalculus (6th Edition)
by Lial, Margaret L.; Hornsby, John; Schneider, David I.; Daniels, Callie
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: 38
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