and if you know the half angle formulas, which state

Then

Now finding your asymptotes should be easy (sin(n)=0) and graphing this by hand, well I would graph the numerator and then the denominator, and then divide the corresponding y values point by point for an accurate sketch

as theemptyset has just pointed out, seems as though i may have misinterpretted that pi for an n, making this wrong and yeah... sorry for that