What is the general solution for sqrt(2)=csc(θ) ?

The general solution for sqrt(2)=csc(θ) is θ= pi/4+2pin,θ=(3pi)/4+2pin

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sqrt(2)=csc(θ)

2 = csc (θ)

θ = \frac{π}{4} + 2 πn, θ = \frac{3 π}{4} + 2 πn

Solution steps

2 = csc (θ)

Switch sides

csc (θ) = 2

General solutions for

csc (θ) = 2

θ = \frac{π}{4} + 2 πn, θ = \frac{3 π}{4} + 2 πn

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4 \cdot cos^{2} (x) - 1 = 0

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What is the general solution for sqrt(2)=csc(θ) ?
The general solution for sqrt(2)=csc(θ) is θ= pi/4+2pin,θ=(3pi)/4+2pin