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#