Find the parametric equation of the ellipse 4x2 9y2 36Solu

Find the parametric equation of the ellipse 4x^2 + 9y^2 = 36.

Solution

4x²+9y²=36

(x²/9) + (y²/4) = 1

which is the characteristic form of ellipse (x²/a²) + (y²/b²) = 1

Hence, a=3, b=2

The parametric form of an ellipse is x= acost, y= b sint

x = 3 cost

y= 2 sint