What is the general solution for sin(θ)= 1/4 ,cos(θ) ?

The general solution for sin(θ)= 1/4 ,cos(θ) is No Solution for θ\in\mathbb{R}

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sin(θ)= 1/4 ,cos(θ)

sin (θ) = \frac{1}{4}, cos (θ)

No Solution for θ \in R

Solution steps

sin (θ) = \frac{1}{4}, cos (θ)

Apply trig inverse properties

θ = arcsin (\frac{1}{4}) + 2 πn, θ = π - arcsin (\frac{1}{4}) + 2 πn

Solutions for the range

cos (θ)

No Solution for θ \in R

2 sin^{2} (β) = 9 sin (β) - 4

4 cos^{2} (x) - 1 = 4, cos (2 x) - 1 = 0

sin (2 θ) = 0.4

0.5 = sin (x) cos (x)

sin (4 x) - cos (4 x) = \frac{1}{2}

What is the general solution for sin(θ)= 1/4 ,cos(θ) ?
The general solution for sin(θ)= 1/4 ,cos(θ) is No Solution for θ\in\mathbb{R}