cos(a+B)×cos(a-B)=1/3,求cos^2(a)-sin^2(B)的值

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cos(a+B)×cos(a-B)=1/3,求cos^2(a)-sin^2(B)的值cos(a+B)×cos(a-B)=1/3,求cos^2(a)-sin^2(B)的值cos(a+B)×cos(a-B

cos(a+B)×cos(a-B)=1/3,求cos^2(a)-sin^2(B)的值
cos(a+B)×cos(a-B)=1/3,求cos^2(a)-sin^2(B)的值

cos(a+B)×cos(a-B)=1/3,求cos^2(a)-sin^2(B)的值
cos^2 a-sin^2 b=(1+cos2a)/2-(1-cos2b)/2
=(cos2a+cos2b)/2=cos(a+b)cos(a-b)=1/3

从一试可以得出tan