Finding Cartesian equation of parametric surface.

[Ral]

I'm a little confused with this problem.

Find the Cartesian equation of the parametric surface: [2cos(t)cos(s), 3sin(s), sin(t)cos(s)]

Find eqn. of the tangent plane when s = 0, t = pi/2

 

[mmm4444bot]

I'm a little confused …

That's a good sign because this exercise has potential for causing big confusion.

Please show your work so far, and identify for us the specific aspect responsible for your little confusion.

 

[Ral]

Confused with starting it. So far, I squared each term and have

\(\displaystyle 4cos^2(t)cos^2(s)\)
\(\displaystyle 9sin^2(s)\)
\(\displaystyle sin^2(t)cos^2(t)\)