The parametric equations are transformed into ordinary equations, and the curves x = 5cos, y = 3sin, are explained

The parametric equations are transformed into ordinary equations, and the curves x = 5cos, y = 3sin, are explained


x/5=cosψ y/3=sinψ => x^2/5^2=cos^2ψ y^2/3^2=sin^2ψ
=> x^2/5^2+y^2/3^2=c0s^2ψ+sin^2ψ=1
The ordinary equation is x ^ 2 / 5 ^ 2 + y ^ 2 / 3 ^ 2 = 1, which is an ellipse with the long half axis of 5, the short half axis of 3 and the focus on the X axis