# Solve the following trigonometric equation: tan 2x = √3.

The given equation is tan 2x = √3.
$\tan 2 \mathrm{x}=\tan \frac{\pi}{3} \\ 2 \mathrm{x}=\mathrm{n} \pi+\frac{\pi}{3}, \mathrm{n} \in \mathrm{Z} \\ \mathrm{x}=\frac{\mathrm{n} \pi}{2}+\frac{\pi}{6}, \mathrm{n} \in \mathrm{Z}$