fadoracraft fadoracraft
  • 19-05-2020
  • Mathematics
contestada

Convert the polar equation r = 2 costheta in Cartesian equation form.

Respuesta :

ronhagrid310
ronhagrid310 ronhagrid310
  • 19-05-2020

Answer:

To transform from polar coordinates  into Cartesian coordinates  we have:

x = r x cos(theta)

y = r x sin(theta)

r^2 = x^2 + y^2

=>   r = 2*cos(theta)

<=> r = 2*(x/r)

<=> 2x = r^2

<=> 2x  = x^2 + y^2

Hope this helps!

:)

Answer Link
amna04352
amna04352 amna04352
  • 19-05-2020

Answer:

x² + y² - 2x = 0

Step-by-step explanation:

r = sqrt(x² + y²)

x = r cos(theta)

r = 2 cos(theta)

Multiply both sides by r

r² = 2r cos(theta)

x² + y² = 2x

Answer Link

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