Answer
$0$, $\pi$
Work Step by Step
$\cos 2\theta-\cos^2\theta=0$
$\cos^2\theta-\sin^2\theta-\cos^2\theta=0$
$-\sin^2\theta=0$
$\sin^2\theta=0$
$\sin\theta=0$
So the only solutions for $\theta$ in $[0, 2\pi)$ are $0$ and $\pi$.
Precalculus: Mathematics for Calculus, 7th Edition
by Stewart, James; Redlin, Lothar; Watson, Saleem
Published by
Brooks Cole
ISBN 10:
1305071751
ISBN 13:
978-1-30507-175-9
Chapter 7 - Section 7.5 - More Trigonometric Equations - 7.5 Exercises - Page 575: 47
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