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

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

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Find Trig Functions Using Identities sin(theta)=15/17 , cos(theta)=8/17

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

No Solution for θ \in R

Solution steps

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

Apply trig inverse properties

sin (θ) = \frac{15}{17}

General solutions for

sin (θ) = \frac{15}{17}

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

θ = arcsin (\frac{15}{17}) + 2 πn, θ = π - arcsin (\frac{15}{17}) + 2 πn

θ = arcsin (\frac{15}{17}) + 2 πn, θ = π - arcsin (\frac{15}{17}) + 2 πn

Solutions for the range

cos (θ) = \frac{8}{17}

No Solution for θ \in R

cos (\frac{( 3 π )}{2})

sin (\frac{( 3 π )}{4})

x, cos (x) = \frac{( 3 )}{2}

sec (x) = \frac{1}{( cos ( x ) )}

tan (0^{\circ})

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