Answer
$(\frac{\pi}{6},\frac{1}{2})$, $(\frac{5\pi}{6},\frac{1}{2})$, $(\frac{13\pi}{6},\frac{1}{2})$, $(\frac{17\pi}{6},\frac{1}{2})$.
Work Step by Step
1. To find the intersects, let $sin(x)=\frac{1}{2}$, in a unit circle, this corresponds to angles $x=\frac{\pi}{6}$ and $x=\frac{5\pi}{6}$.
2. The period of the function is $2\pi$, thus we can find four intersects $(\frac{\pi}{6},\frac{1}{2})$, $(\frac{5\pi}{6},\frac{1}{2})$, $(\frac{13\pi}{6},\frac{1}{2})$, $(\frac{17\pi}{6},\frac{1}{2})$.
