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

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

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

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

No Solution for x \in R

Solution steps

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

- 1 \leq sin (x) \leq 1

No Solution for x \in R

- \frac{π}{2} = π cos (θ)

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

2 sin^{2} (x) = 5 cos (x) - 1

sin (x) tan (x) + 1 = sin (x) + tan (x)

\frac{2 \cdot 40}{80 + 20} = tan (2 x)

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