What is the general solution for sin^2(x)=-1/2 ?

The general solution for sin^2(x)=-1/2 is No Solution for x\in\mathbb{R}

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sin^2(x)=-1/2

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

No Solution for x \in R

Solution steps

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

Solve by substitution

sin (x) = i \frac{1}{2}, sin (x) = - i \frac{1}{2}

sin (x) = i \frac{1}{2} :

No Solution

sin (x) = - i \frac{1}{2} :

No Solution

Combine all the solutions

No Solution for x \in R

4 tan^{2} (θ) = 11 tan (θ) + 3

6 tan^{2} (x) - 2 cos^{2} (x) = cos (2 x)

2 cos^{2} (x) - 3 sin (x) - 3 = 0

6 tan (θ) + 5 = 0

x, y = arcsin (x)

What is the general solution for sin^2(x)=-1/2 ?
The general solution for sin^2(x)=-1/2 is No Solution for x\in\mathbb{R}