What is the general solution for sin(θ)= 8/17 ,cos(θ)= 15/17 ,tan(θ) ?

The general solution for sin(θ)= 8/17 ,cos(θ)= 15/17 ,tan(θ) is No Solution for θ\in\mathbb{R}

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sin(θ)= 8/17 ,cos(θ)= 15/17 ,tan(θ)

sin (θ) = \frac{8}{17}, cos (θ) = \frac{15}{17}, tan (θ)

No Solution for θ \in R

Solution steps

sin (θ) = \frac{8}{17}, cos (θ) = \frac{15}{17}, tan (θ)

Apply trig inverse properties

sin (θ) = \frac{8}{17}

General solutions for

sin (θ) = \frac{8}{17}

sin (x) = a \Rightarrow x = arcsin (a) + 2 πn, x = π - arcsin (a) + 2 πn

θ = arcsin (\frac{8}{17}) + 2 πn, θ = π - arcsin (\frac{8}{17}) + 2 πn

θ = arcsin (\frac{8}{17}) + 2 πn, θ = π - arcsin (\frac{8}{17}) + 2 πn

Solutions for the range

cos (θ) = \frac{15}{17}

No Solution for θ \in R

What is the general solution for sin(θ)= 8/17 ,cos(θ)= 15/17 ,tan(θ) ?
The general solution for sin(θ)= 8/17 ,cos(θ)= 15/17 ,tan(θ) is No Solution for θ\in\mathbb{R}