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1/2(cos2A+cos2C)=cos(A+C)cos(A-C)怎么来的.求大神帮助

题目详情
1/2(cos2A+cos2C) =cos(A+C)cos(A-C)怎么来的.求大神帮助
▼优质解答
答案和解析
1/2(cos2A+cos2C) = 1/2(2cos^2A-1+2cos^2C-1) =-(1-cos^2A-cos^2C) = cos^2Acos^2C-(1-cos^2A-cos^2C+cos^2Acos^2C) =cos^2Acos^2C-(1-cos^2A)(1-cos^2C) = cos^2Acos^2C-sin^2Asin^2C =(cosAcosC-sinAsinC)(cosAco...