What is the elliptic parametric equation with focus on the y-axis? y^2/a^2-x^2/b^2=1 (a>b>0) Two people have different answers. Who do I listen to?

What is the elliptic parametric equation with focus on the y-axis? y^2/a^2-x^2/b^2=1 (a>b>0) Two people have different answers. Who do I listen to?

y=asinθ
x=bcosθ
x=sina,y=cosa
Both expressions are correct, but 0 = < A should be noted