Question

Derive the conversion from cartesian to spherical coordinate system

Answer 1

Cartesian coordinates. ... Alternatively, the conversion can be considered as two sequential rectangular to polar conversions: the first in the Cartesian xy-plane from (x,y) to (R,φ), where R is the projection of r onto the xy-plane, and the second in the Cartesian zR-plane from (z,R) to (r,θ).