What is the general solution for sin^2(x)=5 ?

The general solution for sin^2(x)=5 is No Solution for x\in\mathbb{R}

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sin^2(x)=5

sin^{2} (x) = 5

No Solution for x \in R

Solution steps

sin^{2} (x) = 5

Solve by substitution

sin (x) = 5, sin (x) = - 5

sin (x) = 5 :

No Solution

sin (x) = - 5 :

No Solution

Combine all the solutions

No Solution for x \in R

sin^{2} (x) = a

θ, sin (2 θ) = cos (θ)

5 cos^{2} (θ) + 32 sin (θ) - \frac{11}{2} = 0

cos^{2} (x) - 5 cos (x) + 2 = 0

2 sin^{2} (θ) + 3 sin (θ) = 4 sin (θ) + 1

What is the general solution for sin^2(x)=5 ?
The general solution for sin^2(x)=5 is No Solution for x\in\mathbb{R}