(Solved): 2. Find the expression for the line element ds2=dx2+dy2+dz2 as expressed in terms of spherical coor ...

2. Find the expression for the line element $$\mathrm{d}{s}^2=\mathrm{d}{x}^2+\mathrm{d}{y}^2+\mathrm{d}{z}^2$$ as expressed in terms of spherical coordinates $$(r,?,?)$$ where $$x=r\sin ?\cos ?,y=r\sin ?\sin ?,z=r\cos ?.$$ and $$r>0,??[0,?]$$, and $$?$$ periodically identified with period $$2?$$. For those who dislike doing computations by hand, you can use Maple or Mathematica, just attach a PDF of the output (don't send the actual worksheets or notebooks).