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, n € z