The question is as follow:

f(x) = (2+3sinx)/(4+3cosx)

I know that the first thing you do is to try simplifying this down to 1 trig ratio, but well, I use cos(x) = sqrt[1-sin^2(x)], which got me nowhere.

I have looked at the answer and the shape appears pretty weird to me so I have no idea where to start.

Thanks in advance