2sin(1x/3-П/3)= корень из 3

[latex]2\sin( \frac{x}{3} - \frac{\pi}{3} )= \sqrt{3} [/latex] [latex]\sin( \frac{x}{3} - \frac{\pi}{3} )= \frac{\sqrt{3}}{2} [/latex] [latex]\frac{x}{3} - \frac{\pi}{3}= (-1)^k \frac{\pi}{3} +k\pi,\quad k\in Z[/latex] [latex]\frac{x}{3} = (-1)^k \frac{\pi}{3} +\frac{\pi}{3}+k\pi,\quad k\in Z[/latex] Умножим обе части на 3 [latex]x = (-1)^k \pi +\pi+3k\pi,\quad k\in Z[/latex] [latex]x = \pi*(1+3k+(-1)^k),\quad k\in Z[/latex]