This is something cool. Something extremely geeky. Something I’ve been wanting to do for quite some time.
I can now sign stuff with a trigonometric function! :-D
After a bit of tinkering with Mathematica, I found this formula:

Plotted in the range given above, it looks like this:

Expect this to turn up in future works… one way or the other.
Update (2009-06-05): Wolfram Alpha has a lot more information on this formula.