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

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

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

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

No Solution for x \in R

Solution steps

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

Simplify

\frac{2}{3} : \frac{2 3}{3}

\frac{2}{3}

Multiply by the conjugate

\frac{3}{3}

= \frac{2 3}{3 3}

33 = 3

33

Apply radical rule:

a a = a

33 = 3

= 3

= \frac{2 3}{3}

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

- 1 \leq sin (x) \leq 1

No Solution for x \in R

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