You don't. You learn about angles from triangles formed by the Law of Cosines, which use some of the same terminology as in this question, but derivatives and integrals aren't even touched in Geometry, I know that for a fact.
Well you can learn it from a precalculus course. And it does deal with the last bits of trigonometry as well as touching on some derivatives, matricies, and a few other calculus stuff.
Maybe this is what he's referring to.
I personally don't have a clue about that problem due to my sleeping in class and failing of tests..
But those who can understand it.. GET EM!