antca9s8sica antca9s8sica

14-08-2016
Mathematics

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What is the polar graph of r = 2cos3(theta) and a characteristic?

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meerkat18 meerkat18

17-08-2016

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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