Real Mathematics, Real People - Section 6.4 #47-50

Check the boxes for u and v to see the angles and their sine and cosine values. Note that (7, 24, 25) and (3, 4, 5) are Pythagorean triples, sets of natural (aka pretty) numbers that are the sides of a right triangle. Note to, uh, most people: This applet isn't terribly interactive, since it was meant for a specific question. It could be modified for greater adaptability, though.