By using the Cartesian coordinate transformation to spherical coordinates, prove the truth of equation 7-37.

Because we must use spherical polar coordinates, these expressions must be trans- formed into these coordinates. Appendix M shows how this can be done. The results are + cot 0 cos o = ih sin o Lxor (7-37) + cot 0 sin o Ly = ih -cos o 'Yop = - ih Lsop