$\tan(2x) = \sqrt{3}$ denkleminin $[0, \pi]$ aralığındaki çözüm kümesi nedir?
A) $\left\{\frac{\pi}{6}, \frac{7\pi}{12}\right\}$
B) $\left\{\frac{\pi}{3}, \frac{2\pi}{3}\right\}$
C) $\left\{\frac{\pi}{6}, \frac{5\pi}{6}\right\}$
D) $\left\{\frac{\pi}{12}, \frac{7\pi}{12}\right\}$
E) $\left\{\frac{\pi}{3}, \frac{5\pi}{6}\right\}$
