nataleecrist
nataleecrist nataleecrist
  • 13-05-2021
  • Mathematics
contestada

Convert r = 8cos θ to rectangular form. A. x2 + y2 = 8y B. x2 + y2 = 64x C. x2 + y2 = 16x D. x2 + y2 = 8x

Respuesta :

erinna erinna
  • 18-05-2021

Given:

The given polar equation is:

[tex]r=8\cos\theta[/tex]

To find:

The rectangular form of the given polar equation.

Solution:

We know that,

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

[tex]x=r\cos \theta[/tex]

We have,

[tex]r=8\cos\theta[/tex]

Multiply both sides by r.

[tex]r^2=8r\cos\theta[/tex]

[tex]x^2+y^2=8x[/tex]

Therefore, the correct option is D.

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