Problem:
Convert the following vector to spherical coordinates $(x, y, z) = (5, \sqrt{3}, 8)$
Answer:
$\left\{2 \sqrt{23},\tan ^{-1}\left(\frac{\sqrt{7}}{4}\right),\tan ^{-1}\left(\frac{\sqrt{3}}{5}\right)\right\}$
{'source': 'AMPS', 'file': 'amps/mathematica/algebra/spherical_coordinates/27857.txt'}