Convert the point $(\rho,\theta,\phi) = \left( 4, \frac{5 \pi}{3}, \frac{\pi}{2} \right)$ in spherical coordinates to rectangular coordinates.
Question:
Convert the point $(\rho,\theta,\phi) = \left( 4, \frac{5 \pi}{3}, \frac{\pi}{2} \right)$ in spherical coordinates to rectangular coordinates.
Answer:
Let's think step by step.

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(2, -2 \sqrt{3}, 0)
Convert the point $(\rho,\theta,\phi) = \left( 4, \frac{5 \pi}{3}, \frac{\pi}{2} \right)$ in spherical coordinates to rectangular coordinates.
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