A point has rectangular coordinates $(8,-3,-1)$ and spherical coordinates $(\rho, \theta, \phi).$  Find the rectangular coordinates of the point with spherical coordinates $(\rho, -\theta, \phi).$
Question:
A point has rectangular coordinates $(8,-3,-1)$ and spherical coordinates $(\rho, \theta, \phi).$  Find the rectangular coordinates of the point with spherical coordinates $(\rho, -\theta, \phi).$
Answer:
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(8,3,-1)
A point has rectangular coordinates $(8,-3,-1)$ and spherical coordinates $(\rho, \theta, \phi).$  Find the rectangular coordinates of the point with spherical coordinates $(\rho, -\theta, \phi).$
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