shanewalters1994 shanewalters1994
  • 15-12-2021
  • Mathematics
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Express the polar equation r=2 sinø in Cartesian coordinates

Express the polar equation r2 sinø in Cartesian coordinates class=

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LammettHash
LammettHash LammettHash
  • 15-12-2021

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

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