2sin2x*cos2x*cos8x=sin12x
sin4x*cos8x=sin12x
1/2(sin12x+sin4x)=sin12x
1/2sin12x+1/2sin4x-sin12x=0
1/2sin4x-1/2sin12x=0
1/2*2sin(-4x)*cos8x=0
-sin4x*cos8x=0
sin4x*cos8x=0
sin4x=0 или cos8x=0
4x=
, n-целое
x=
, n-целое
cos8x=0
8x=
, n - целое
x=
, n - целое
sin4x*cos8x=sin12x
1/2(sin12x+sin4x)=sin12x
1/2sin12x+1/2sin4x-sin12x=0
1/2sin4x-1/2sin12x=0
1/2*2sin(-4x)*cos8x=0
-sin4x*cos8x=0
sin4x*cos8x=0
sin4x=0 или cos8x=0
4x=
x=
cos8x=0
8x=
x=