Carefully read Section 4.1.2 (The Angular Equation) in Griffiths and then answer the following questions. (a) Use equations 4.27, 4.28, and 4.32 in Griffiths to construct Y" for three cases: 1 =1, m = -1,0, +1. Check that the three functions you find are orthogonal. (b) Use equation 4.32 to construct Y' (0,0). (Work out Pe from equations 4.27 and 4.28.) d ) P/(x), (4.27) dx m/2 P" (x) = (-1)" (1 – x2)" "" x2)"? () :) (x2-1) (4.28) 1 d P/(x) = 2l! dx (4.32) (22 + 1) (l – m)! cimo p (cos ), Y"(0,0) = 47 (+ m)!