Корень 3 cos2x=sinxcosx

[latex]\sqrt{3}cos2x=sinxcosx[/latex] [latex]\sqrt{3}cos2x=\frac{1}{2}sin2x[/latex] [latex]2\sqrt{3}cos2x-sin2x=0[/latex] [latex]cos2x(2\sqrt{3}-tg2x)=0[/latex] [latex]x=\frac{\pi}{4}+\frac{\pi}{2}k,k \in Z[/latex] [latex]x=\frac{arctg(2\sqrt{3})}{2}+\frac{\pi}{2}t,t \in Z[/latex]