michael111498 michael111498
  • 09-07-2017
  • Mathematics
contestada

Convert the polar equation to rectangular coordinates. (Use variables x and y as needed.)

r = 7 csc θ

Respuesta :

mathmate
mathmate mathmate
  • 09-07-2017
the standard conversion toolbox:
x=rcos(θ)
y=rsin(θ)

Here r=7csc(θ)
so 
x=7csc(θ)*cos(θ)=7cos(θ)/sin(θ)=7cot(θ)
y=7csc(
θ)*sin(θ)=7sin(θ)/sin(θ) = 7
therefore the rectangular coordinates are (7cot(
θ), 7)
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