1)2sinx=корень из(3) 2)tg3x=-1/корень из 3 3)cos(x+пи/3)=-1 4)sin(x-пи/3) +1=0  

[latex]1)2sinx=\sqrt{3} [/latex]   [latex]sinx=\frac{\sqrt{3}}{2}[/latex]   [latex]x=(-1)^{n}\cdot arcsin(\frac{\sqrt{3}}{2})+\pi\cdot n[/latex]   [latex]x=(-1)^{n}\cdot\frac{\pi}{3}+\pi\cdot n, n\in Z[/latex]   [latex]2)tg3x=-\frac{1}{\sqrt{3}}[/latex]   [latex]3x=-\frac{\pi}{6}+\pi\cdot k [/latex]   [latex]x=-\frac{\pi}{18}+\frac{\pi}{3}\cdot k,k\in Z[/latex]   [latex]3)cos(x+\frac{\pi}{3})=-1[/latex]   [latex]x+\frac{\pi}{3}=\pi+2\pi k[/latex]   [latex]x=\frac{2\pi}{3}+2\pi k, k\in Z[/latex]   [latex]4)sin(x-\frac{\pi}{3})+1=0[/latex]   [latex]sin(x-\frac{\pi}{3})=-1[/latex]   [latex]x-\frac{\pi}{3}=-\frac{\pi}{2}+2\pi k[/latex]   [latex]x=-\frac{\pi}{6}+2\pi k,k\in Z[/latex]