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## Homework Statement

Suppose that in spherical coordinates the surface S is given by the equation rho * sin(phi)= 2 * cos(theta).

Find an equation for the surface in cylindrical and rectangular coordinates. Describe the surface- what kind of surface is S?

## Homework Equations

## The Attempt at a Solution

r= rho * sin (phi)

r^2= (rho * sin(phi)^2

r^2= 4 cos ^2 (theta)

x^2 + y^2= 4 cos^2 (theta)

And now I'm drawing a blank. Can someone please help me on how to continue?- I'm clueless! Thank you!