Express the polar equation r=2 sinø in Cartesian coordinates
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Given r = 2 sin(θ), multiplying both sides by r and converting to Cartesian coordinates gives
r² = 2 r sin(θ)
x² + y² = 2 y
By completing the square, we end up with
x² + y² - 2y = 0
x² + y² - 2y + 1 = 1
x² + (y - 1)² = 1