Parameterize write a parametric equation for the following C

Parameterize (write a parametric equation for) the following Cartesian equation by using x(t) = acos t and y(t) = bsin t: x^2/36 + y^2/100 = 1

Solution

x(t)=acost,y(t)=bsint

(x²_/36)+(y²_/100)=1

((acost)²_/36)+((bsint)²_/100)=1

parametric equation is ((a²cos²t)_/36)+((b²sin²t)_/100)=1

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(x²_/36)+(y²_/100)=1 can be parameterized as x=6cost, y=10sint ,0<=t<2pi