Sin^4x/2+cos^4(п-x/2)=sinx

[latex]sin^{4} \frac{x}{2}+cos^{4}( \pi - \frac{x}{2})=sinx [/latex] [latex] \frac{(1-cosx)^{2}}{4}+ \frac{(1+cosx)^{2}}{4} =sinx[/latex] [latex] \frac{1-2cosx+cos^{2}x+1+2cosx+cos^{2}x}{4}=sinx[/latex] [latex] \frac{2+2cos^{2}x}{4}=sinx[/latex] [latex] \frac{1+(1-sin^{2}x)}{2}=sinx[/latex] [latex]2-sin^{2}x=2sinx[/latex] [latex]sin^{2}x+2sinx-2=0[/latex] Замена: sinx=t, -1