cosC=cos[π-(A+B)]=-cos(A+B)=-[cosAcosB-sinAsinB] sinA=5/13<1/2 A在(0,π/6)或(5π/6,π)中 cosB=3/5>1/2 B在(π/4,π/2)中取 A最大取3π/4<5π/6 所以A在(0,π/6) cosA=12/13 sinB=4/5cosC=-16/65
-16/65