4sin^3x=3cos(x+3п/2) очень срочно

[latex]4sin^3x=3cos(x+\frac{3\pi}{2})[/latex] [latex]4sin^3x=3sinx[/latex] [latex]4sin^3x-3sinx=0[/latex] [latex]sinx(4sin^2x-3)-0[/latex] [latex]sinx=0\hspace*{30}4sin^2x-3=0[/latex] [latex]x=\pi n;n\in Z\hspace*{30}4sin^2x=3[/latex] [latex]x=\pi n;n\in Z\hspace*{30}sin^2x=\frac{3}{4}[/latex] [latex]x=\pi n;n\in Z\hspace*{30}sinx=\frac{\sqrt{3}}{2}\hspace*{30}sinx=-\frac{\sqrt{3}}{2}[/latex] [latex]x_1=\pi n;n\in Z\hspace*{5}x_2=(-1)^n\frac{\pi}{3}+\pi n;n\in Z\hspace*{4}x_3=(-1)^n(-\frac{\pi}{3})+\pi n;n\in Z[/latex]