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Homework Help: Spherical cylindrical and rectangular coordinates

  1. Oct 21, 2013 #1
    1. The problem statement, all variables and given/known data
    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?

    2. Relevant equations

    3. 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!
  2. jcsd
  3. Oct 21, 2013 #2


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    Science Advisor
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    Gold Member

    You don't want to square that first equation ##r =\rho\sin\phi##. So after that first step you have ##r = 2\cos\theta##. What's the formula for ##\cos\theta##? Get it all in terms of ##x,y,z##.
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