cosB=cos[(A+B)-A]
=cosA*cos(A+B)+sinA*sin(A+B)
∵A,B都是锐角
∵cosA=1/3
∴sinA=2√2/3
∵cos(A+B)=-3/5
∴sin(A+B)=4/5
∴cosB=cos[(A+B)-A]
=cosA*cos(A+B)+sinA*sin(A+B)
=1/3*(-3/5)+2√2/3*4/5
=-1/5+8√2/15
=(8√2-3)/15
cosB=cos[(A+B)-A]
=cosA*cos(A+B)+sinA*sin(A+B)
∵A,B都是锐角
∵cosA=1/3
∴sinA=2√2/3
∵cos(A+B)=-3/5
∴sin(A+B)=4/5
∴cosB=cos[(A+B)-A]
=cosA*cos(A+B)+sinA*sin(A+B)
=1/3*(-3/5)+2√2/3*4/5
=-1/5+8√2/15
=(8√2-3)/15