sin^6a+cos^6a+3sin^2acos^2a的值为?
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sin^6a+cos^6a+3sin^2acos^2a的值为?sin^6a+cos^6a+3sin^2acos^2a的值为?sin^6a+cos^6a+3sin^2acos^2a的值为?sin^6a+
sin^6a+cos^6a+3sin^2acos^2a的值为?
sin^6a+cos^6a+3sin^2acos^2a的值为?
sin^6a+cos^6a+3sin^2acos^2a的值为?
sin^6a+cos^6a+3sin^2acos^2a
=（sin²a＋cos²a）（sin^4a-sin^2acos^2a+cos^4a）+3sin^2acos^2a
=sin^4a-sin^2acos^2a+cos^4a+3sin^2acos^2a
=sin^4a＋2sin^2acos^2a+cos^4a
=（sin²a＋cos²a）²
=1²
=1
sin^6a+cos^6a+3sin^2acos^2a
=(sin^2a+cos^2a)(sin^4a-sin^2acos^2a+cos^4a)+3sin^2acos^2a
=sin^4a-sin^2acos^2a+cos^4a+3sin^2acos^2a
=sin^4a+2sin^2acos^2a+cos^4a
=(sin^2a+cos^2a)^2
=1^2
=1
sin^6 a＋cos^6 a＋3×sin^2 a×cos^2 a=?
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