求证cos^2(A=45度)=COS^2(A-45度)=1

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求证cos^2(A=45度)=COS^2(A-45度)=1求证cos^2(A=45度)=COS^2(A-45度)=1求证cos^2(A=45度)=COS^2(A-45度)=1应该是求证cos^2(A+

求证cos^2(A=45度)=COS^2(A-45度)=1
求证cos^2(A=45度)=COS^2(A-45度)=1

求证cos^2(A=45度)=COS^2(A-45度)=1
应该是求证cos^2(A+45度)+COS^2(A-45度)=1吧
证明:
左边=sin²[90º-(A+45º)]+cos²(A-45º)
=sin²(A-45º)+cos²(A-45º)
=1
∴等式得证,谢谢采纳!