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

The given equation is tan 2x = √3.
[latex]\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}[/latex]

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