解:因为 A、B为锐角,
所以 sinA>0,cosB>0,
又因为 cosA=5/13,sinB=4/5,
所以 sinA=12/13,cosB=3/5,
所以 cos(A+B)=cosAcosB-sinAsinB
=(5/13)X(3/5)-(12/13)X(4/5)
=15/65-48/65
=-33/65。
cosA =5/13, => sinA=12/13
sinB=4/5, => cosB = 3/5
cos(A+B)
=cosA.cosB -sinA.sinB
=(5/13)(3/5) - (12/13)(4/5)
=-33/65