What is the general solution for sin(x)=(-3)/2 ?

The general solution for sin(x)=(-3)/2 is No Solution for x\in\mathbb{R}

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sin(x)=(-3)/2

sin (x) = \frac{- 3}{2}

No Solution for x \in R

Solution steps

sin (x) = \frac{- 3}{2}

Apply the fraction rule:

\frac{- a}{b} = - \frac{a}{b}

sin (x) = - \frac{3}{2}

- 1 \leq sin (x) \leq 1

No Solution for x \in R

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

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

arctan (x) = \frac{π}{12}

8 sin^{2} (w) + 10 sin (w) + 3 = 0

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

What is the general solution for sin(x)=(-3)/2 ?
The general solution for sin(x)=(-3)/2 is No Solution for x\in\mathbb{R}