1. Review
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Fill in the table of coordinate transforms between spherical, rectangular, and cylindrical systems. Do this by extracting the relevant equations from the book and putting onto a single (nice) reference page either in the template below or your own reference system.
| This will be handy for quick reference later. |
| To→ ↓From |
cartesian | cylindrical | spherical |
|---|---|---|---|
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2. Notes
Figure 1. Remember your trigonometry? [1]
Inverse tangent can cause issues when the denominator becomes zero.
In Matlab and other languages, use
atan2(y, x) or atan2d(y, x)
This yields the 4-quadrant result. Recall that otherwise there is a 180° ambiguity in the \(\tan^{-1}(\,)\).
