3sin 2x-4cosx+3sinx-2=0 (п/2;3п/2)

3sin2x-4cosx+3sinx-2=06sinx*cosx-4cosx+3sinx-2=03sinx(2cosx+1)-2(2cosx+1)=0(2cosx+1)(3sinx-2)=02cosx+1=02cosx=-1cosx=-1/2x₁=±2π/3+2πn, n € Z3sinx-2=0sinx=2/3x₂=(-1)^k *arcsin(2/3)+πn, n € Z

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