What is the general solution for csc^2(θ)-3csc(θ)+2=0 ?

The general solution for csc^2(θ)-3csc(θ)+2=0 is θ= pi/6+2pin,θ=(5pi)/6+2pin,θ= pi/2+2pin

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csc^2(θ)-3csc(θ)+2=0

csc^{2} (θ) - 3 csc (θ) + 2 = 0

θ = \frac{π}{6} + 2 πn, θ = \frac{5 π}{6} + 2 πn, θ = \frac{π}{2} + 2 πn

Solution steps

csc^{2} (θ) - 3 csc (θ) + 2 = 0

Solve by substitution

csc (θ) = 2, csc (θ) = 1

csc (θ) = 2 : θ = \frac{π}{6} + 2 πn, θ = \frac{5 π}{6} + 2 πn

csc (θ) = 1 : θ = \frac{π}{2} + 2 πn

Combine all the solutions

θ = \frac{π}{6} + 2 πn, θ = \frac{5 π}{6} + 2 πn, θ = \frac{π}{2} + 2 πn

sin (3 x) = 2

4 \cdot cos (x) + 5 = 0

2 = (1 - cos (θ))

sin (120 \cdot π \cdot t) = 0.06141

cos (θ) = \frac{2 13}{13}

What is the general solution for csc^2(θ)-3csc(θ)+2=0 ?
The general solution for csc^2(θ)-3csc(θ)+2=0 is θ= pi/6+2pin,θ=(5pi)/6+2pin,θ= pi/2+2pin