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x2+y2=2y into polar coordinates

When converting Cartesian coordinates to polar coordinates, three standard converstion factors must be memorized:

r2=x2+y2

r*cos(theta)=x

r*sin(theta)=y

From these conversions, you can easily get the above Cartesian equation into polar coordinates:

r2=2rsin(theta), which reduces down (by dividing out 1 r on both sides) to:

r=2sin(theta)

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Q: X squared plus y squared equals 2y.change into polar equation?
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