What is the general solution for sqrt(2)csc(θ)-2=0 ?

The general solution for sqrt(2)csc(θ)-2=0 is θ= pi/4+2pin,θ=(3pi)/4+2pin

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sqrt(2)csc(θ)-2=0

2 csc (θ) - 2 = 0

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

Solution steps

2 csc (θ) - 2 = 0

Move

2

to the right side

2 csc (θ) = 2

Divide both sides by

2

csc (θ) = 2

General solutions for

csc (θ) = 2

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

sin (θ) = \frac{5}{4}

100 = 5040 cos (θ)

cos (3 x) = \frac{2}{3}

cos (x) (csc (x) + 2) = 0

arctan (θ) = \frac{π}{4}

What is the general solution for sqrt(2)csc(θ)-2=0 ?
The general solution for sqrt(2)csc(θ)-2=0 is θ= pi/4+2pin,θ=(3pi)/4+2pin