Find Cartesian equation from parameter?

Question

How do you find the Cartesian equation for the parametrized curve:

x = 2sin(t)

y = - 3cos(t)

And what portion of the graph of the Cartesian equation is traced by the parametrized curve?

Answer 1

sin t= x/2

cost=-y/3

square both and sum

1= x^2/4+y^2/9