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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- February 12th 2008, 12:48 PMheroichelp 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) - February 12th 2008, 10:01 PMmr fantastic
Try googling

spherical polar coordinates jacobian

or even

derivation spherical polar coordinates jacobian

One hit that might be useful is here - February 13th 2008, 07:24 AMheroic
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)