1. The problem statement, all variables and given/known data Evaluate the appropriate determinant to show that the Jacobian of the transformation from Cartesian (this is a typo, they mean spherical) pψθ-space to Cartesian xyz-space is ρ2sin(ψ). 2. Relevant equations 3. The attempt at a solution Uhm, I am lost. I'm supposed to prove that when a function F(p,ψ,θ) is transformed into a function H(x,y,z), then the jacobian is ρ2sin(ψ). But, to do that I am supposed to solve a determinant which involves the partial derivatives of p(x,y,z), ψ(x,y,z) and θ(x,y,z) with respect to x,y,z, namely J(x,y,z)?? That would take an hour, so I assume I am not understanding the problem properly?? As far as I know, evaluating the determinant J(p,ψ,θ) will make ρ2sin(ψ) pop out - but this is for the opposite transformation, from cartesian to spherical space. I'm confused. Help pls?