Two Points on a Circle_Parametric Equations

Author:
ayoob
Topic:
Equations
The green slider controls the angle between the line segment OP and the x-axis.
Imagine two points, P and Q, on a unit circle. They start together from (1,0) and go at constant speeds in an anticlockwise direction around the circle but Q goes twice as fast as P. What path is followed by the midpoint of PQ? Write the equations for the locus of the midpoint M.