3sin в квадрате x- 2sonx· cosx =3cos в квадрате x

3sin²x -2sinxcosx = 3cos²x
3sin²x -2sinxcosx - 3cos²x = 0
3() - sin2x -3() = 0
- sin2x -  = 0
3-3cos2x - 2sin2x - 3 - 3cos2x = 0
-6cos2x - 2sin2x = 0
-6 - 2tg2x = 0
-2tg2x = 6
tg2x = -3
2x = arctg(-3) + πk,k∈z
x = - + , k∈z