I am working with the TransformedDistribution function, and have successfully derived PDF functions for r, theta and phi.
When I try and calculate the PDF for z = r * Cos[theta] via the TransformedDistribution function, I get stuck. My gut tells me that there is an assumption missing, but I am not sure.
I need the PDF for the interval 0 < t < 2.
My work is attached. Any suggestions?
Attachments: