What is the general solution for csc(θ)=5,sin(θ)=x ?

The general solution for csc(θ)=5,sin(θ)=x is No Solution for θ\in\mathbb{R}

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csc(θ)=5,sin(θ)=x

csc (θ) = 5, sin (θ) = x

No Solution for θ \in R

Solution steps

csc (θ) = 5, sin (θ) = x

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

Solutions for the range

sin (θ) = x

No Solution for θ \in R

tan (θ) = 0.6

tan (θ) = 0.9

cos (W) = \frac{17 0 ^{2} + 17 3 ^{2} - 12 5 ^{2}}{2 ( 170 ) ( 173 )}

2 csc^{2} (x) + csc (x) - 1 = 0

3 cos (θ) + sin (2 θ) = 0

What is the general solution for csc(θ)=5,sin(θ)=x ?
The general solution for csc(θ)=5,sin(θ)=x is No Solution for θ\in\mathbb{R}