Answer
$x =2 n \pi \pm \dfrac{\pi}{3}$
Work Step by Step
Re-arrange the given equation as:
$2 \cos x=1$
$\cos x=\dfrac{1}{2}$
$\cos x=\dfrac{\pi}{3}$
Therefore, the general solution of $\cos x$ is:
$x =2 n \pi \pm \dfrac{\pi}{3}$
Algebra 2 (1st Edition)
by Larson, Ron; Boswell, Laurie; Kanold, Timothy D.; Stiff, Lee
Published by
McDougal Littell
ISBN 10:
0618595414
ISBN 13:
978-0-61859-541-9
Chapter 14 Trigonometric Graphs, Identities, and Equations - 14.5 Write Trigonometric Functions and Models - 14.5 Exercises - Quiz for Lessons 14.3-14.5 - Page 945: 7
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