Determine the general solution to `sin(x/2)= sqrt(3)/2` . Use radians as the unit.
`sin(x/2) = sqrt(3)/2`
The primary solution for `(x/2)` is `pi/3` .
Let's now find the general solution for `(x/2)` .
The general solution for sine is given by the following equation.
`(x/2) = npi+(-1)^n(pi/3)` where `n in Z` .
Therefore general solution for x is,
`x = 2npi+(-1)^n((2pi)/3)`
Where `n in Z` .
(NOTE: you can solve (x/2) = pi/3 for x and then find genral solution for x. It will give wrong answers.)