SOLUTION: Find PARAMETRIC EQUATIONS for the path of a particle that moves clockwise twice around the circle (x-3)^2+y^2=16, starting from (-1,0).

Question 1039861: Find PARAMETRIC EQUATIONS for the path of a particle that moves clockwise twice around the circle (x-3)^2+y^2=16, starting from (-1,0).
Answer by robertb(5830) (Show Source): You can put this solution on YOUR website!
Suppose first that the parametrization goes only once around the circle for [0,].
Then you can use the parametrization
and ,
or, which is the same thing (after doing a little trigonometry),
and .
Since we want two rotations for t in [0,], just let
and , or
and
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