Discussion
The steps of converting a Cartesian point to spherical coordinates are listed below. Put them in order.
1. Compute \( \theta = \arccos(z/r) \) 2. Compute \( r = \sqrt{x^2+y^2+z^2} \) 3. Check the quadrant of \( \phi \) from the signs of x and y 4. Compute \( \phi = \arctan(y/x) \)
Answer: B
The radius must come first because the polar angle is defined through it. The azimuthal angle follows, and the quadrant check is essential because the arctangent alone cannot distinguish opposite directions in the plane.
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