Tracing the Sine Function

Move point C about the circle. Observe what happens to point P.
 
Questions
 
  1. What can you say about the lengths of segment CD and segment PE?
  2. What can you say about the distance of E from the origin? What is it equal to? 
  3. What do x and y represent in P(x,y)? 
  4. What do the traces of P represent? 

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