Use the formulae-
1) r is the distance of the point from centre of sphere which is origin.
2) z-axis makes angle A with r .
3) Projection of r on x-y plane makes an angle B with x-axis.
4) Locus of points of same r making same angle A with z-axis makes a circle parallel to the circle in x-y plane with r as radius .
5) For 360> angle > 180 , use sin(180+A) = - sinA and cos (180 + A ) = - cosA;