\((r, \theta, \phi) \Rightarrow (\rho, \phi, z)\)

Algebra Level 3

Express \(\rho\) in terms of spherical coordinates.

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\(Details \ and \ Assumptions\):

  1. In this picture, the red one is the \(\phi\)-coordinate.

  2. The \(x-y-z-axes\) are oriented such that you are facing the first octant.

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