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

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

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sin(2x)=(-3)/2

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

No Solution for x \in R

Solution steps

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

Apply the fraction rule:

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

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

- 1 \leq sin (x) \leq 1

No Solution for x \in R

x, arctan (x) = \frac{π y}{4}

1 = 4 sin (x)

tan (x) = \frac{45}{67}

k, 1.5 = 6 (- cos (\frac{k}{2}) + 1)

cos (t) = sin (2 t)

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