2 sin(pi/3 - x/4)=sqrt(3)

[latex]2sin(\frac{\pi}{3}-\frac{x}{4})=\sqrt{3};\\ sin(\frac{\pi}{3}-\frac{x}{4})=\frac{\sqrt{3}}{2};\\ \frac{\pi}{3}-\frac{x}{4}=(-1)^k *\frac{\pi}{3}+ \pi*k;\\ -\frac{x}{4}=((-1)^k-1)*\frac{\pi}{3}+ \pi*k;\\ x=((-1)^{k+1}+1)*\frac{4\pi}{3}+4\pi*k;[/latex] k є Z ответ: [latex] ((-1)^{k+1}+1)*\frac{4\pi}{3}+4\pi*k;[/latex] k є Z