题目
cos a的4次方减sin a的4次方等于cos 2a
用综合法或分析法证明
用综合法或分析法证明
提问时间:2020-06-19
答案
这是要证明吧
cos^4a-sin^4a
=(cos^2a-sin^2a)(cos^2a+sin^2a)
=cos^2a-sin^2a
=cos^2a-(1-cos^2a)
=2cos^2a-1
=cos2a
cos^4a-sin^4a
=(cos^2a-sin^2a)(cos^2a+sin^2a)
=cos^2a-sin^2a
=cos^2a-(1-cos^2a)
=2cos^2a-1
=cos2a
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