Question

sin (2 theta) = sqrt 3

Answer 1

what's your problem dude?

Answer 2

It seems you are trying to find Theta in this equation. It seems reasonable to take the inverse sin on the left and right hand side of the equation, like this:

arcsin( sin(2*Theta) = arcsin (SQRT(3))

which turns into:

2 * Theta = arcsin(SQRT(3)).

One step further, after dividing left and right by 2:

Theta = 1/2 * arcsin(SQRT(3)), which requires a calculator if you really want to have a figure instead of this monster. Good luck :-)