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求证cos(a+b)cos(a-b)=cos^2b-sin^2a
人气:333 ℃ 时间:2019-12-05 05:27:43
解答
cos(a+b)cos(a-b)=(cosacosb-sinasinb)(cosacosb+sinasinb)=(cosacosb)^2-(sinasinb)^2=cos^2acos^2b-sin^2asin^2b=cos^2acos^2b-(1-cos^2a)(1-cos^2b)=cos^2acos^2b-(1-cos^2a-cos^2b+cos^2acos^2b)=cos^2acos^2b-...
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