化简sin(x+2π/3)+2sinx-√3 cos(π/3-x) 主要看过程谢谢~
来源:学生作业帮 编辑:拍题作业网作业帮 分类:数学作业 时间:2024/05/08 20:37:02
化简sin(x+2π/3)+2sinx-√3 cos(π/3-x) 主要看过程谢谢~
=sinxcos2π/3+cosxsin2π/3+2sinx-√3(cosxcosπ/3+sinxsinπ/3)
=sinx *(-1/2+2 -√3*√3/2)+cosx * (√3/2-√3/2)
=0;
或
=sin(π/3-x) +2sinx-√3 cos(π/3-x)
=2sin(π/3-x) cosπ/3-2cos(π/3-x)sinπ/3+2sinx
=2sin(π/3-x-π/3)+2sinx
=-2sinx++2sinx
=0
=sinx *(-1/2+2 -√3*√3/2)+cosx * (√3/2-√3/2)
=0;
或
=sin(π/3-x) +2sinx-√3 cos(π/3-x)
=2sin(π/3-x) cosπ/3-2cos(π/3-x)sinπ/3+2sinx
=2sin(π/3-x-π/3)+2sinx
=-2sinx++2sinx
=0
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