已知sin(a+b)sin(b-a)=m,试求cos^2a-cos^2b的值

根据积化和差公式：sinαsinβ=-1/2[cos(α+β)-cos(α-β)]sin(a+b)sin(b-a)=1/2[cos(a+b+a-b)-cos(a+b-a-b)]=1/2(cos2a-cos2b)=1/2[(2cos^2a-1)-(2cos^2b-1)]=1/2(2cos^2a-2cos^2b)=1/2[2(cos^2a-cos^2b)]=(cos^2a...