We know that cosine is positive and cotangent is negative. Where does this happen? In Quadrant IV. Thus we know where the angle is.
We want . Well, we know that , so we can get that easily enough. (Note that sine is negative in QIV.)
Getting is pretty easy:
Now the last two are also easy:
Edit: I just thought of another way to get :
This is a faster method, if you know how to deal with the complex fraction.