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

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

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sin(θ)=(3sqrt(13))/(13),sec(θ)

sin (θ) = \frac{3 13}{13}, sec (θ)

No Solution for θ \in R

Solution steps

sin (θ) = \frac{3 13}{13}, sec (θ)

Apply trig inverse properties

sin (θ) = \frac{3 13}{13}

General solutions for

sin (θ) = \frac{3 13}{13}

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

θ = arcsin (\frac{3 13}{13}) + 2 πn, θ = π - arcsin (\frac{3 13}{13}) + 2 πn

θ = arcsin (\frac{3 13}{13}) + 2 πn, θ = π - arcsin (\frac{3 13}{13}) + 2 πn

Solutions for the range

sec (θ)

No Solution for θ \in R

sin (y) = \frac{1}{2}

3 sin^{2} (x) = 5 sin (x) + 2

sin (x) + cos (x) = 0, - \frac{π}{2} \leq x \leq π

sin (x) = \frac{7}{4}

2 tan^{2} (x) + 9 tan (x) + 3 = 0

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