What is the general solution for csc(θ)=-5 ?

The general solution for csc(θ)=-5 is θ=-0.20135…+2pin,θ=pi+0.20135…+2pin

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csc(θ)=-5

csc (θ) = - 5

θ = - 0.20135 \dots + 2 πn, θ = π + 0.20135 \dots + 2 πn

Degrees

θ = - 11.53695 \dots^{\circ} + 36 0^{\circ} n, θ = 191.53695 \dots^{\circ} + 36 0^{\circ} n

Solution steps

csc (θ) = - 5

Apply trig inverse properties

csc (θ) = - 5

General solutions for

csc (θ) = - 5

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

θ = arccsc (- 5) + 2 πn, θ = π + arccsc (5) + 2 πn

θ = arccsc (- 5) + 2 πn, θ = π + arccsc (5) + 2 πn

Show solutions in decimal form

θ = - 0.20135 \dots + 2 πn, θ = π + 0.20135 \dots + 2 πn

What is the general solution for csc(θ)=-5 ?
The general solution for csc(θ)=-5 is θ=-0.20135…+2pin,θ=pi+0.20135…+2pin