Answer
$(-\frac{\pi}{3},\frac{1}{2})$, $(\frac{\pi}{3},\frac{1}{2})$, $(\frac{5\pi}{3},\frac{1}{2})$, $(\frac{7\pi}{3},\frac{1}{2})$.
Work Step by Step
1. To find the intersects, let $cos(x)=\frac{1}{2}$, in a unit circle, this corresponds to angles $x=-\frac{\pi}{3}$ and $x=\frac{\pi}{3}$.
2. The period of the function is $2\pi$, thus we can find four intersects $(-\frac{\pi}{3},\frac{1}{2})$, $(\frac{\pi}{3},\frac{1}{2})$, $(\frac{5\pi}{3},\frac{1}{2})$, $(\frac{7\pi}{3},\frac{1}{2})$.
