Convert the point $(\rho,\theta,\phi) = \left( 3, \frac{5 \pi}{12}, 0 \right)$ in spherical coordinates to rectangular coordinates.
I know that to convert from spherical to rectangular coordinates, I need to use the following formulas: $x = \rho \sin \phi \cos \theta$, $y = \rho \sin \phi \sin \theta$, and $z = \rho \cos \phi$. Plugging in the given values, I get: $x = 3 \sin 0 \cos \frac{5 \pi}{12} = 0$, $y = 3 \sin 0 \sin \frac{5 \pi}{12} = 0$, and $z = 3 \cos 0 = 3$. Therefore, the rectangular coordinates of the point are $(0,0,3)$. 