What is the general solution for csc(θ)=2sqrt(3) ?

The general solution for csc(θ)=2sqrt(3) is θ=0.29284…+2pin,θ=pi-0.29284…+2pin

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csc(θ)=2sqrt(3)

csc (θ) = 23

θ = 0.29284 \dots + 2 πn, θ = π - 0.29284 \dots + 2 πn

Degrees

θ = 16.77865 \dots^{\circ} + 36 0^{\circ} n, θ = 163.22134 \dots^{\circ} + 36 0^{\circ} n

Solution steps

csc (θ) = 23

Apply trig inverse properties

csc (θ) = 23

General solutions for

csc (θ) = 23

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

θ = arccsc (23) + 2 πn, θ = π - arccsc (23) + 2 πn

θ = arccsc (23) + 2 πn, θ = π - arccsc (23) + 2 πn

Show solutions in decimal form

θ = 0.29284 \dots + 2 πn, θ = π - 0.29284 \dots + 2 πn

2 csc^{2} (x) + 5 cot (x) = 5

60 sin (4 5^{\circ}) = 400 sin (θ)

(1 + tan (x)) (5 sin (x) - 2) = 0

arccos (e - x) = π^{3}

sin (a) = \frac{20}{25}

What is the general solution for csc(θ)=2sqrt(3) ?
The general solution for csc(θ)=2sqrt(3) is θ=0.29284…+2pin,θ=pi-0.29284…+2pin