Sin, Cos, and the Unit Circle

This is a Java Applet created using GeoGebra from www.geogebra.org - it looks like you don't have Java installed, please go to www.java.com

What relationship do you see between the (x,y) coordinates of the unit circle and the sin curve?
What relationship do you see between the (x,y) coordinates of the unit circle and the cos curve?
How does the angle alpha relate to the trace of sin and cos?

Alycia Jacobson, 24 October 2013, Created with GeoGebra