What is the general solution for csc(θ)=11 ?

The general solution for csc(θ)=11 is θ=0.09103…+2pin,θ=pi-0.09103…+2pin

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csc(θ)=11

csc (θ) = 11

θ = 0.09103 \dots + 2 πn, θ = π - 0.09103 \dots + 2 πn

Degrees

θ = 5.21590 \dots^{\circ} + 36 0^{\circ} n, θ = 174.78409 \dots^{\circ} + 36 0^{\circ} n

Solution steps

csc (θ) = 11

Apply trig inverse properties

csc (θ) = 11

General solutions for

csc (θ) = 11

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

θ = arccsc (11) + 2 πn, θ = π - arccsc (11) + 2 πn

θ = arccsc (11) + 2 πn, θ = π - arccsc (11) + 2 πn

Show solutions in decimal form

θ = 0.09103 \dots + 2 πn, θ = π - 0.09103 \dots + 2 πn

4 sin^{4} (θ) - 7 sin^{2} (θ) + 3 = 0

cos (v) = - 0.995

5 sin (X) - 2 = 2 sin (X)

cos^{2} (2 x) + 3 sin (2 x) = 3

- 2 cos^{2} (θ) - 4 sin (θ) + 2 = - 5 sin (θ)

What is the general solution for csc(θ)=11 ?
The general solution for csc(θ)=11 is θ=0.09103…+2pin,θ=pi-0.09103…+2pin