r=2-2cos(theta)

Question

r=2-2cosθ

Answer 1

r= 2 - 2cosT

plot a few points, it looks like a heart shape, but on its side

going through the origin, (-4,0), (0,2) and (0,-2)

0 < radius < 4

is a polar equation, to convert it to rectangular coordinates use

the following identities

x^2 +y^2 = r^2

x = rcosT, y = rsinT

sqr(x^2+y^2) = 2 - 2x/r= 2-x/sqr(x^2+y^2)