Suppose you are standing at a point on the equator of a sphere, parameterized by spherical coordinates $\theta$, and $\phi$. Let "north" point to the top of the sphere and "west" and "east" similarly be chosen as if the sphere were a globe.

What can you say about your initial $\phi$ coordinate?
$\phi_0 =$

Let your initial $\theta$ coordinate be $\theta = a$. If you go east one third of the way around the equator and halfway up toward the south pole along a longitude, what are your new $\theta$ and $\phi$ coordinates?

$\theta =$
$\phi =$