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

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

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sin(θ)= 2/(sqrt(13)),cos(θ)= 3/(sqrt(13))

sin (θ) = \frac{2}{13}, cos (θ) = \frac{3}{13}

No Solution for θ \in R

Solution steps

sin (θ) = \frac{2}{13}, cos (θ) = \frac{3}{13}

Simplify

\frac{2}{13} : \frac{2 13}{13}

Apply trig inverse properties

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

Solutions for the range

cos (θ) = \frac{3}{13}

No Solution for θ \in R

cos (x) + 7 = 7

6 sin^{2} (x) + 4 sin (x) - 1 = 0

cos (x - \frac{π}{4}) + sin (x + \frac{π}{4}) = 0

3 tan (x) + 1 = 0

cos (2 x) = \frac{7}{25}

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