What is the general solution for csc(θ)=(sqrt(5))/2 ?

The general solution for csc(θ)=(sqrt(5))/2 is θ=1.10714…+2pin,θ=pi-1.10714…+2pin

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csc(θ)=(sqrt(5))/2

csc (θ) = \frac{5}{2}

θ = 1.10714 \dots + 2 πn, θ = π - 1.10714 \dots + 2 πn

Degrees

θ = 63.43494 \dots^{\circ} + 36 0^{\circ} n, θ = 116.56505 \dots^{\circ} + 36 0^{\circ} n

Solution steps

csc (θ) = \frac{5}{2}

Apply trig inverse properties

csc (θ) = \frac{5}{2}

General solutions for

csc (θ) = \frac{5}{2}

csc (x) = a \Rightarrow x = arccsc (a) + 2 πn, x = π - arccsc (a) + 2 πn

θ = arccsc (\frac{5}{2}) + 2 πn, θ = π - arccsc (\frac{5}{2}) + 2 πn

θ = arccsc (\frac{5}{2}) + 2 πn, θ = π - arccsc (\frac{5}{2}) + 2 πn

Show solutions in decimal form

θ = 1.10714 \dots + 2 πn, θ = π - 1.10714 \dots + 2 πn

What is the general solution for csc(θ)=(sqrt(5))/2 ?
The general solution for csc(θ)=(sqrt(5))/2 is θ=1.10714…+2pin,θ=pi-1.10714…+2pin