The solutions of the equation `sin(theta/2) = 1/2` in the interval `[0, 2*pi)` are required.

`sin(theta/2) = 1/2`

=> `theta/2 = pi/6` and `theta/2 = 5*pi/6`

=> `theta = pi/3` and `theta = 5*pi/3`

**The solution of the equation in the given interval is `pi/3` and `5*pi/3` **