2sin( pi/3 - x/4) = корень 3  

[latex]2sin( \dfrac{ \pi }{3} - \dfrac{ x}{4}) = \sqrt{3} \\ \\ sin( \dfrac{ \pi }{3} - \dfrac{ x}{4}) = \dfrac{ \sqrt{3} }{2} \\ \\ sin( -\dfrac{ \pi }{3} + \dfrac{ x}{4}) = -\dfrac{ \sqrt{3} }{2} \\ \\ \dfrac{ x}{4} - \dfrac{ \pi }{3} = (-1)^{n+1} \dfrac{ \pi }{3} + \pi n, \ n \in Z \\ \\ \dfrac{ x}{4} = (-1)^{n+1}\dfrac{ \pi }{3} + \dfrac{ \pi }{3} + \pi n, \ n \in Z \\ \\ \boxed{x = (-1)^{n+1}\dfrac{ 4\pi }{3} + \dfrac{ 4\pi }{3} + 4 \pi n, \ n \in Z}[/latex]