cos 4x sin 6x=cos 7x sin3x

cos4x*sin6x=cos7x*sin3x
sin6xcos4x=sin3xcos7x
1/2(sin(6x-4x)+sin(6x+4x))=1/2(sin(3x-7x)+sin(3x+7x))|*2
sin2x+sin10x=-sin4x+sin10x
sin2x+sin10x+sin4x-sin10x=0
sin2x+sin4x=0
2sin(2x+4x/2)cos(2x-4x/2)=0
2sin3xcosx=0|:2
sin3xcosx=0
sin3x=0
3x=пn,n€z
x=пn/3,n€z
cosx=0
x=п/2+пn,€z