Converting a polar equation to an x,y equation

[Timebomb3750]

Homework Statement

r=(1/(2+cos(θ))

Homework Equations

r=sqrt(x^2+y^2)
rcosθ=x
rsinθ=y

The Attempt at a Solution

Not sure what first step to take. This problem looks so simple, but I can't seem to get far on paper. Not sure if I should multiply both sides by 2+cos and then multiply both sides by r, or if I should change the fraction as (2+cos)^-1.

 

[RoshanBBQ]

Homework Statement

r=(1/(2+cos(θ))

Homework Equations

r=sqrt(x^2+y^2)
rcosθ=x
rsinθ=y

The Attempt at a Solution

Not sure what first step to take. This problem looks so simple, but I can't seem to get far on paper. Not sure if I should multiply both sides by 2+cos and then multiply both sides by r, or if I should change the fraction as (2+cos)^-1.

You knew the answer all along.