Write an animation program that implements the example two-dimensional rotation procedure of Section 5-1. An input polygon is to be rotated in small steps around a pivot point in the xy plane. Small angels are to be used for each successive step in the rotation, and approximations to the sine and cosine functions are to be used to speed up the calculations. To avoid excessive accumulation of sound-off errors, reset the original coordinate values for the object at the start of each new revolution.