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Anyways, I was given the equation:

r=2asin(theta)+2bcos(theta) and had to prove that it was a circle, and then state its center in cartesian and cylindrical coordinates. After making the appropriate substitutions and completing the square (twice), I got:

(x-b)^2 + (y-a)^2 = a^2+b^2

Obviously, the center in cartesian coordinates are (b,a).

But how do I express this center in cylindrical coordinates? Thanks!