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antca9s8sica
antca9s8sica antca9s8sica
  • 14-08-2016
  • Mathematics
Answered

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

Verified Answer :

meerkat18
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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