∵a ,b均为锐角
∴00
则cosa=√(1-sin²a)==√[1-(3/5)²]=4/5
sin(a+b)√[1-cos²(a+b)]=√[1-(-5/13)²]=12/13
那么cosb
=cos[(a+b)-a]
=cos(a+b)cosa+sin(a+b)sina
=(-5/13)×(4/5)+(12/13)×(3/5)
=-20/65+36/65
=16/65
则b=arccos(16/65)