9sinx-9cosx+2sin2x-2=0

[latex]9sinx-9cos x+2sin(2x)-2=0[/latex] [latex]9sin x+2sin x cos x-9cos x-2=0[/latex] [latex]sinx(9+2cos x)-1*(9cos x+2)=0[/latex] [latex](sin x-1)(9cos x+2)=0[/latex] [latex]9cos x+2=0;cos x=-\frac{2}{9}[/latex] [latex]x=^+_-(\pi-arccos \frac{2}{9})+2*\pi*k[/latex] [latex]sin x-1=0;sin x=1[/latex] [latex]x=\frac{\pi}{2}+2*\pi*n[/latex] k, n є Z