VernellDebiasio12 VernellDebiasio12
  • 12-07-2015
  • Mathematics
contestada

Convert the polar equation r=4sinθ to a Cartesian equation. Answer choices: x^2 + y^2 = 4y x^2 + y^2 = 4x

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Beanie4185
Beanie4185 Beanie4185
  • 13-07-2015
Start by multiplying both sides by r:

[tex]r = 4 \sin \theta[/tex]
[tex]r^2 = 4r \sin \theta[/tex]

Since [tex]r^2 = x^2 + y^2[/tex] and [tex]y = r \sin \theta[/tex], we have that

[tex]\bf x^2 + y^2 = 4y[/tex]
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