查人人中国名人网酸性污水用絮凝剂:一道高一数学简单的问题,谢谢大家！
来源：百度文库 编辑：查人人中国名人网 时间：2024/05/10 18:38:42
化简sin^6α+cos^6α+3sin^2αcos^2α
sin^6α+cos^6α+3sin^2αcos^2α
=(sin^2a)^3+(cos^2a)^3+3sin^2αcos^2α
=(sin^2a+cos^2a)(sin^4a-sin^2acos^2a+cos^4a)+3sin^2αcos^2α
=sin^4a-sin^2acos^2a+cos^4a+3sin^2αcos^2α
=sin^4a+2sin^2acos^2a+cos^4a
=(sin^2a+cos^2a)^2
=1
g