a在第二象限
cos²a=1-sin²a=1-(4/5)²=9/25=(3/5)²,cosa=-3/5
b在第三象限
sin²b=1-cos²b=1-(-5/13)²=144/169=(12/13)²,sinb=-12/13
cos(a-b)
=cosacosb+sinasinb
=(-3/5)*(-5/13)+4/5*(-12/13)
=15/65-48/65
=-33/65