Dannyking010110 Dannyking010110
  • 02-05-2019
  • Mathematics
contestada

Write the polar equation as a set of parametric equations.

r=3sinθ
Show all work.

Respuesta :

kudzordzifrancis
kudzordzifrancis kudzordzifrancis
  • 12-05-2019

Answer:

[tex]x=t[/tex]

[tex]y=\pm\sqrt{3t-t^2}[/tex]

Step-by-step explanation:

The given polar equation is;

[tex]r=3\sin \theta[/tex]

We multiply  both sides by r

[tex]r^2=3r\sin \theta[/tex]

The corresponding rectangular equation is

[tex]y^2+x^2=3x[/tex]

[tex]y^2=3x-x^2[/tex]

[tex]y=\sqrt{3x-x^2}[/tex]

Let x=t,

Then;

[tex]y=\pm \sqrt{3t-t^2}[/tex]

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