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Transformed distribution assumptions

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?

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POSTED BY: Patrick McMullen

You must work with the distribution, not with the PDF.

POSTED BY: Gianluca Gorni
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