How do you change (0,3,-3) from rectangular to spherical coordinates?

1 Answer
Feb 3, 2015

The answer is: (32,π2,34π).

To change the coordinates from rectangular to spherical we have to use these formulae:

ρ=x2+y2+z2;
ϕ=arctan(yx);
θ=arccos(zx2+y2+z2).

So:

ρ=02+32+32=18=32;

ϕ=arctan(30)=arctan()=π2;

θ=arccos(302+32+32)=arccos(332)=arccos(1222)=arccos(22)=34π.

So the point becomes: (32,π2,34π).