The rectangular equivalence to the parametric equations is;
(x - 2)²/9 + (y + 1)²/4 = 1
How to Interpret Parametric Equations?
We want to find the rectangular equivalence to the parametric equations;
x(θ) = 3cosθ + 2
y(θ) = 2sinθ − 1
where 0 ≤ θ < 2π .
Making the trigonometric ratio the subject gives us;
cosθ = (x - 2)/3
sinθ = (y + 1)/2
Now, from trigonometric identities, we know that;
cos²θ + sin²θ = 1
Thus;
((x - 2)/3)² + ((y + 1)/2)² = 1²
(x - 2)²/9 + (y + 1)²/4 = 1
Thus, the rectangular equivalence to the parametric equations is;
(x - 2)²/9 + (y + 1)²/4 = 1
Read more about Parametric Equations at; https://brainly.com/question/27247899
#SPJ1
