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 BC related to angle BOC?
2.) What is the relationship exists between segment BC and B'C'?
3.) What is the relationship exists between arc AB and OC'?
4.) What is the minimum and maximum y-coordinates of B'?
5.) What curve is traced by B'?