Answer :

meerkat18
we are given the function r=2cos(3θ)
from the pythagorean theorem,
r2=x2+y2
from the polar definition,
x=rcos3θ x/r = cos3θ y=rsin3θ r=2x/r r2=2x x2+y2−2x=0. 

This equation represents a parabola

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