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## Homework Statement

I'm trying to express spherical coordinates in terms of cylindrical and vice versa. I would appreciate it if someone could give me some feedback on my attempt at a solution. Thanks for the help!

## The Attempt at a Solution

Spherical(cylindrical)

r=(ρ^2+z^2)^(1/2)

θ=arcsin(ρ/(ρ^2+z^2)^(1/2))

ψ=ψ

Cylindrical(Spherical)

ρ=rsinθ

z=rcosθ

ψ=ψ