L 2-2 2 21sin2 2 1sin sin b for the l 2 ml -1 state

Question

For the Particle-on-Sphere problem, solve for the following. a) For the l = 0 state determine the average angular momentum. L ?^2=-?^2 ?^2 ?^2=(1/(?sin?^2 ?) ?/(??^2 )+1/sin? ?/?? sin? ?/??) b) For the l = 2, ml = -1 state determine the average angular momentum and the average angular momentum in the z-axis