cos(A+B)cos(A-B)化简的结果是( )A.cos^2A-sin^2BB.sin^2A-sin^2BC.cos^2A-cos^2BD.sin^2A-COS^2B怎么作的?

来源:学生作业帮助网 编辑:六六作业网 时间:2024/12/22 13:07:13
cos(A+B)cos(A-B)化简的结果是()A.cos^2A-sin^2BB.sin^2A-sin^2BC.cos^2A-cos^2BD.sin^2A-COS^2B怎么作的?cos(A+B)cos

cos(A+B)cos(A-B)化简的结果是( )A.cos^2A-sin^2BB.sin^2A-sin^2BC.cos^2A-cos^2BD.sin^2A-COS^2B怎么作的?
cos(A+B)cos(A-B)化简的结果是( )
A.cos^2A-sin^2B
B.sin^2A-sin^2B
C.cos^2A-cos^2B
D.sin^2A-COS^2B
怎么作的?

cos(A+B)cos(A-B)化简的结果是( )A.cos^2A-sin^2BB.sin^2A-sin^2BC.cos^2A-cos^2BD.sin^2A-COS^2B怎么作的?
cos(A+B)cos(A-B)
=(cosAcosB-sinAsinB)*(cosAcosB+sinAsinB)
=cos^2Acos^2B-sin^2Asin^2B
=cos^2Acos^2B-(1-cos^2A)*(1-cos^2B)
=cos^2A+(cos^2B-1)
=cos^2A-sin^2B
选A.