2sin²x+3cosx-3=0
2(1-cos²x)+3cosx-3=0
cosx=y
2(1-y²)+3y-3=0
y=1/2, y=1
cosx=1
x ∈ {2πk}, k ∈ Z
cosx=1/2
x ∈ {2πk-π/3, 2πk+π/3}, k ∈ Z
sinx<0
x ∈ {2πk+π/3}, k ∈ Z
2sin²x+3cosx-3=0
2(1-cos²x)+3cosx-3=0
cosx=y
2(1-y²)+3y-3=0
y=1/2, y=1
cosx=1
x ∈ {2πk}, k ∈ Z
cosx=1/2
x ∈ {2πk-π/3, 2πk+π/3}, k ∈ Z
sinx<0
x ∈ {2πk+π/3}, k ∈ Z