Move [i]t[/i] on line [i]L[/i] to see the wrapping function [i]W(t)[/i].[br]Each real number [i]t[/i] on line [i]L[/i] corresponds to a point [i]W(t)[/i] on the unit circle [i]C[/i]. [br]The point is found by wrapping [i]L[/i] about [i]C[/i] without slipping or stretching.[br]The coordinates of [i]W(t)[/i] are (cos[i](t)[/i], sin[i](t)[/i]). This is the definition of cosine and sine.

[list=1][br][*]Check "Radians" to view t as a decimal number.[br][*]Move t to integer values such as 1, 2, 3, -1, etc. and answer the following questions:[br][list=a][br] [*]Which integer wraps closest to halfway around the circle?[br] [*]Which integer wraps closest to one time around the circle?[br] [*]Which integer wraps closest to twice around the circle? (Note that you have to zoom out to get t large enough)[br][/list][br][*]Check "Multiples of π" to view t as rational multiples of π.[br][list=a][br][*]Which multiples of π wrap to the top of the circle, (0,1)? (You should be able to find both positive and negative answers.)[br][*]Which multiples of π wrap to the left of the circle, (-1,0)?[br][/list][br][*]Check "Degrees" to view t in degrees.[br][/list]