2(cosx-1)sin2x=3cos(3п/2+x)[3п/2; 3п]​

[tex]2(\cos{x}-1)2\sin{x}\cos{x}-3\cos{(3\pi/2+x)}={(3\pi/2+x)}=\sin{x}\\4\sin{x}(\cos^2{x}-\cos{x}-3/4)=0\\d=1+3={x}(\cos{x}+1/{x}-3/2)=|\cos{x}|\leq {array}{ccc}\sin{x}={x}=-1/{array}[/tex]

x={pi*n; ±2pi/3+2pi*n}, n∈z.

ответ: x={2pi; 8pi/3; 3pi}