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问题: 一道高一数学题~~~~~~~~~~~~~~

已知cos(a+β)cos(a-β)=1/3,则cos^2a-sin^2β=?

解答:

解:cos(A+B)cos(A-B)=1/2×cos2B+1/2×cos2A=1/3
cos²A-sin²B=(1/2+cos2A/2)-(1/2-cos2B/2)=cos2A/2+cos2B/2=1/3