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Math Help - help with polar co-ordinates.

  1. #1
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    help with polar co-ordinates.

    x = rsinAcosB
    y = rsinAsinB
    z = rcosA

    show that, using partial derivatives that

    d(x,y,z) = r^2 sinA
    d(r,A,B)
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  2. #2
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    Quote Originally Posted by heroic View Post
    x = rsinAcosB
    y = rsinAsinB
    z = rcosA

    show that, using partial derivatives that

    d(x,y,z) = r^2 sinA
    d(r,A,B)
    Try googling

    spherical polar coordinates jacobian

    or even

    derivation spherical polar coordinates jacobian

    One hit that might be useful is here
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  3. #3
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    Posts
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    cheers, i got upto here.

    d(x,y,z) = I sinAcosB rsinAcosB -rsinAsinB I
    d(r,A,B) I sinAsinB rcosAsinB rsinAcosB I
    I cosA -rsinA 0 I

    = [(sinAcosB)(rcosAsinB)] - [(sinAsinB)(rcosAcosB)]

    but i dont know what to do next in order to show that

    d(x,y,z) = r^2sinA
    d(r,A,B)
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