What is the general solution for csc(θ)=(sqrt(34))/3 ,cos(θ)>0 ?

The general solution for csc(θ)=(sqrt(34))/3 ,cos(θ)>0 is No Solution for θ\in\mathbb{R}

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csc(θ)=(sqrt(34))/3 ,cos(θ)>0

csc (θ) = \frac{34}{3}, cos (θ) > 0

No Solution for θ \in R

Solution steps

csc (θ) = \frac{34}{3}, cos (θ) > 0

Apply trig inverse properties

csc (θ) = \frac{34}{3}

General solutions for

csc (θ) = \frac{34}{3}

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

θ = arccsc (\frac{34}{3}) + 2 πn, θ = π - arccsc (\frac{34}{3}) + 2 πn

θ = arccsc (\frac{34}{3}) + 2 πn, θ = π - arccsc (\frac{34}{3}) + 2 πn

Solutions for the range

cos (θ) > 0

No Solution for θ \in R

What is the general solution for csc(θ)=(sqrt(34))/3 ,cos(θ)>0 ?
The general solution for csc(θ)=(sqrt(34))/3 ,cos(θ)>0 is No Solution for θ\in\mathbb{R}