The associated spherical functions of the pseudo-Riemannian symmetric spaces \(SO_ 0(p,q)/SO_ 0(p,q-1)\), U(p,q)/U(p,q-1)\(\times U(1)\), Sp(p,q)/Sp(p,q-1)\(\times Sp(1)\) in different coordinate systems are considered. They correspond to the maximally degenerate representations of the groups \(SO_ 0(p,q)\), U(p,q) and Sp(p,q). The associated spherical functions for the groups \(SO_ 0(2p,2q)\) and U(p,q) (and for the groups U(2p,2q) and Sp(p,q)) in appropriate coordinate systems coincide. The associated spherical functions for the groups \(SO_ 0(2p+1,1)\) and U(p,1) (and for the groups \(SO_ 0(4p+3,1)\) and Sp(p,1)) are related by a multiplier, which does not depend on angles.