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

Solution steps

csc (θ) = \frac{5}{2}

Apply trig inverse properties

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

sin (θ) + 3 = 5 sin (θ)

2 sin^{2} (x) - cos (2 x) = 0

csc (x) cos^{2} (x) + sin^{2} (x) = csc (x)

0.87 = 5 cos (3 x)

cos (\frac{2 π x}{3}) = \frac{1}{2}

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