i suck at trigonometry.

Bump! If they actually want you to find exact trigonometric values to n decimal places of "unit circle unfriendly" angles without a calculator, look into taylor series and fourier series. They converge fairly quickly, but it will still probably take, say, 5-10 minutes of number crunching for 5 decimal places even if you're fairly fast.

Or use WolframAlpha to do all your homework.

http://www34.wolframalpha.com/input/...45(degrees)/52