What is the general solution for csc(θ)=(sqrt(13))/2 ,sec(θ)=(sqrt(13))/3 ?

The general solution for csc(θ)=(sqrt(13))/2 ,sec(θ)=(sqrt(13))/3 is No Solution for θ\in\mathbb{R}

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csc(θ)=(sqrt(13))/2 ,sec(θ)=(sqrt(13))/3

csc (θ) = \frac{13}{2}, sec (θ) = \frac{13}{3}

No Solution for θ \in R

Solution steps

csc (θ) = \frac{13}{2}, sec (θ) = \frac{13}{3}

Apply trig inverse properties

csc (θ) = \frac{13}{2}

General solutions for

csc (θ) = \frac{13}{2}

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

θ = arccsc (\frac{13}{2}) + 2 πn, θ = π - arccsc (\frac{13}{2}) + 2 πn

θ = arccsc (\frac{13}{2}) + 2 πn, θ = π - arccsc (\frac{13}{2}) + 2 πn

Solutions for the range

sec (θ) = \frac{13}{3}

No Solution for θ \in R

What is the general solution for csc(θ)=(sqrt(13))/2 ,sec(θ)=(sqrt(13))/3 ?
The general solution for csc(θ)=(sqrt(13))/2 ,sec(θ)=(sqrt(13))/3 is No Solution for θ\in\mathbb{R}