Show that the cartesian equation of the curve that has the parameter 𝒙=𝟐+πŸ‘π’„π’π’”πŸπœ½ and π’š=πŸ’+πŸ‘π’”π’Šπ’πŸπœ½ is π’™πŸ+π’šπŸβˆ’πŸ’π’™βˆ’πŸ–π’š+𝟏𝟏=𝟎.

1 answer

cosΞΈ = (x-2)/3
sinΞΈ = (y-4)/3
since sin^2ΞΈ + cos^2ΞΈ = 1,
(x-2)^2/9 + (y-4)^2/9 = 1
Now just expand that out to get your x-y equation