Cosine Function Tracer

Topic:
Cosine
Given circle O with center at the origin and radius 1 unit and point B on the circle.
Drag point B about the circle and observe what happens. 1.) How is OC related to angle BOC? 2.) What is the relationship exists between segment OC and PC'? 3.) What is the relationship exists between arc AB and OC'? 4.) What are the minimum and maximum y-coordinates of P? 5.) What curve is traced by PC'?