How do I solve the following problem?

Question

Convert the polar equation to rectangular coordinates (Use variables x and y as needed)
$r = 3/(1-costheta)$

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Answer 1 · 2018-02-26T05:35:10

We have that

$r*(1-costheta)=3$

$r-r*costheta=3$

Because $x=r*costheta$ and $x^2+y^2=r^2$

Hence

$r-x=3$

$r=x+3$

$r^2=(x+3)^2$

$x^2+y^2=x^2+6x+9$

$y^2=6*x+9$