3sin 2x-4cosx+3sinx-2=0 (п/2; 3п/2)

3sin2x-4cosx+3sinx-2=0
6sinx*cosx-4cosx+3sinx-2=0

3sinx(2cosx+1)-2(2cosx+1)=0

(2cosx+1)(3sinx-2)=0
2cosx+1=0
2cosx=-1
cosx=-1/2
x₁=±2π/3+2πn, n € Z

3sinx-2=0
sinx=2/3
x₂=(-1)^k *arcsin(2/3)+πn, n € Z

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