Legendre Polynomials. Show That The Functions 14. TEAM PROJECT. Special Functions. Orthogonal Polynomials Play A Great Role In Applications. For Pr(cos 0), N 0, 1, From An Orthogonal Set On The Interval 0 S 6 S IT With Respect To The Weight Function This Reason, Legendre Polynomials And Various Other Sin 6 Orthogonal Polynomials Have Been.