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3sin^2x+5sinx+2=0

3sin²x + 5sinx + 2 = 0sinx  = z3z² + 5z + 2 = 0D = 25 - 4*3*2 = 1z₁ = (- 5 - 1)/6z₁ = - 1(-5 + 1)/6z₂ = - 4/6z₂ = - 2/31) sinx = - 1x₁ = - π/2 + 2πk, k ∈Z2) sinx = - 2/3x₂ = (-1)^(n)arcsin(-2/3) + πn, n∈Z