Incipere T-Shirt

Sure, some might scoff that it's just a proof of that weird trig limit. But it is also a mathematical poem. The first real step in the ascent to enlightenment all aspiring calculati must travel. The first course result that is not rote algebra wranging. Instead, we're given a geometric argument elegant enough to make Plato weep. Inscribe a right triangle inside a wedge of unit circle, its area given by the familiar one-half x base x width formula, but its area also trapped between that of the inner and outer wedges. If theta was equal to two-pi, the wedges would be circles and their area pi times the square of their radius. Hence, the area of each wedge is pi times the square of their radius weighted by theta / two-pi. The rest follows by algebra. From this result fruits come fast and hard -- trig derivatives, inverse trig derivatives, trig integrals, trig series -- like greasy calves wriggling free from their mother's birth canal. And it marks a way of thinking that will not relent for 3.75 semesters. The hall is rented, the orchestra engaged. It's time to see if you can dance. Derivation of famous trig limit with accompanying figure. HarabaraHand free font via fontsquirrel.com. Customizable.