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QUESTION

# How do you convert r=sin(2theta) into a cartesian equation?

x^2 +y^2 =2

r = sin (2theta)

r = 2sin theta cos theta

r = 2(y/r) (x/r) implies r^2 = 2 implies x^2 +y^2 =2

So it's a circle with radius sqrt(2).