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A cow has been tied to a silo with radius 2m by a rope attached at the westernmost spot on the silo. The rope is just long enough for her to reach the easternmost point on the silo. The parametric equations to display the silo are x=2cos(t) y=2sin(t). The rope is 2pi meters. Find the parametric equations for the path the cow can travel around the silo by always keeping the rope completely taut. Do this by finding the x and y coordinates of the point P as functions of theta.

A cow has been tied to a silo with radius 2m by a rope attached at the westernmost spot on the silo.  The rope is

just long enough for her to reach the easternmost point on the silo.  The parametric equations to display the silo are x=2cos(t) y=2sin(t).  The rope is 2pi meters.  Find the parametric equations for the path the cow can travel around the silo by always keeping the rope completely taut.  Do this by finding the x and y coordinates of the point P as functions of theta.

 
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