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Cylindrical / Spherical Coordinates

  1. Jan 27, 2013 #1
    I'm trying to convert the below Cartesian coordinate system into cylindrical and spherical coordinate systems. For the cylindrical system, I had r,vector = er,hat + sint(e3,hat).
    While I do have a technically correct answer for the spherical coordinate system, I believe, I was wondering if there was a way to simplify the expression 1/cos[tan^-1*(sint)]. Thanks.

    s6orih.png
     
  2. jcsd
  3. Jan 27, 2013 #2

    mfb

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    ##r=\sqrt{x^2+y^2+z^2} = \sqrt{1+\sin^2(t)}##?
     
  4. Jan 27, 2013 #3
    rad(1+sin^2(t)) = 1/(cos(tan^-1(sint)))?
    Also, am I right in thinking r = rad(x^2 + y^2) = 1 for cylindrical coordinates?
     
  5. Jan 27, 2013 #4

    mfb

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    Would be interesting to check this in an analytic way.

    If you use (r,theta,z) as coordinates: Right.
     
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