Модуль sinx=корень из 2/2

[latex]|sin x|=\frac{\sqrt{2}}{2}[/latex] <=> [latex]|sin x|^2=(\frac{\sqrt{2}}{2})^2[/latex] [latex]|A|^2=A^2[/latex] [latex]sin^2 x=\frac{1}{2}[/latex] [latex]\frac{1-cos 2x}{2}=\frac{1}{2}[/latex] [latex]cos (2x)=0[/latex] [latex]2x=\frac{\pi}{2}+\pi*k[/latex] [latex]x=\frac{\pi}{4}+\frac{\pi*k}{2}[/latex] k є Z