What is the general solution for csc(θ)=-2,pi<θ<3pi^2th(θ,t)en,cot(θ) ?

The general solution for csc(θ)=-2,pi<θ<3pi^2th(θ,t)en,cot(θ) is No Solution for θ\in\mathbb{R}

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csc(θ)=-2,pi<θ<3pi^2th(θ,t)en,cot(θ)

csc (θ) = - 2, π < θ < 3 π^{2} t h (θ, t) e n, cot (θ)

No Solution for θ \in R

Solution steps

csc (θ) = - 2, π < θ < 3 π^{2} t h (θ, t) e n, cot (θ)

General solutions for

csc (θ) = - 2

csc (x)

periodicity table with

2 πn

cycle:

x 0 \frac{π}{6} \frac{π}{4} \frac{π}{3} \frac{π}{2} \frac{2 π}{3} \frac{3 π}{4} \frac{5 π}{6} csc (x) Undefiend 22 \frac{2 3}{3} 1 \frac{2 3}{3} 22 x π \frac{7 π}{6} \frac{5 π}{4} \frac{4 π}{3} \frac{3 π}{2} \frac{5 π}{3} \frac{7 π}{4} \frac{11 π}{6} csc (x) Undefiend - 2 - 2 - \frac{2 3}{3} - 1 - \frac{2 3}{3} - 2 - 2

θ = \frac{7 π}{6} + 2 πn, θ = \frac{11 π}{6} + 2 πn

θ = \frac{7 π}{6} + 2 πn, θ = \frac{11 π}{6} + 2 πn

Solutions for the range

π < θ < 3 π^{2} t h (θ, t) e n

No Solution for θ \in R

sin (θ) = 0.9

sin (θ) = 0.5

3 + tan (2 x) = 0

csc (2 x) = 2

tan (x) = \frac{3}{3}

What is the general solution for csc(θ)=-2,pi<θ<3pi^2th(θ,t)en,cot(θ) ?
The general solution for csc(θ)=-2,pi<θ<3pi^2th(θ,t)en,cot(θ) is No Solution for θ\in\mathbb{R}