Answer
a. $4k\pi$
b. $0$
Work Step by Step
a. $\cos\frac{\theta}{2}-1=0$
$\cos\frac{\theta}{2}=1$
$\frac{\theta}{2}=2k\pi$
$\theta=4k\pi$
b. The only value of $\theta$ in $[0, 2\pi)$ is $0$, which occurs when $k=0$ and $\theta=4*0*\pi=0$.
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 574: 23
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