$\sin(x) = \frac{1}{2}$ denkleminin $[0, 2\pi]$ aralığındaki çözüm kümesi nedir?
A) $\left\{\frac{\pi}{6}, \frac{5\pi}{6}\right\}$
B) $\left\{\frac{\pi}{3}, \frac{2\pi}{3}\right\}$
C) $\left\{\frac{\pi}{6}, \frac{7\pi}{6}\right\}$
D) $\left\{\frac{\pi}{3}, \frac{4\pi}{3}\right\}$
E) $\left\{\frac{\pi}{4}, \frac{3\pi}{4}\right\}$