化简:(sinα-cosα)^2+sin4α/2cos2α 化简:sin^2x+sin^2(x+2π/3)+sin^2(x-2π/3)

来源：学生作业帮助网 编辑：作业帮 时间：2024/05/02 05:12:09
化简:(sinα-cosα)^2+sin4α/2cos2α 化简:sin^2x+sin^2(x+2π/3)+sin^2(x-2π/3)

化简:(sinα-cosα)^2+sin4α/2cos2α 化简:sin^2x+sin^2(x+2π/3)+sin^2(x-2π/3)
化简:(sinα-cosα)^2+sin4α/2cos2α 化简:sin^2x+sin^2(x+2π/3)+sin^2(x-2π/3)

化简:(sinα-cosα)^2+sin4α/2cos2α 化简:sin^2x+sin^2(x+2π/3)+sin^2(x-2π/3)
(sinα-cosα)²+sin4α/2cos2α
=1-2sinαcosα+2sin2αcos2α/2cos2α
=1-sin2α+sin2α
=1
sin²x+sin²(x+2π/3)+sin²(x-2π/3)
=sin²x+sin²(x+π-π/3)+sin²(x+π/3-π)
=sin²x+sin²(π+x-π/3)+sin²(-π+x+π/3)
=sin²x+sin²(x-π/3)+sin²(x+π/3)
=sin²x+(1/4)sin²x-(√3/2)sinxcosx+(3/4)cos²x+(1/4)sin²x+(√3/2)sinxcosx+(3/4)cos²x
=sin²x+(1/2)sin²x+(3/2)cos²x
=(3/2)sin²x+(3/2)cos²x
=(3/2)(sin²x+cos²x)
=3/2

化简sin^2α+sin^2β+2sinαsinβcos(α+β) 化简sin²α-2sinαcosα+1 化简sin(α+β)-2sinαsinβ/2sinαsinβ+cos(α+β) sin（α+β）-2sinαcosβ/2sinαsinβ+cos（α+β）化简 化简：sin(α+β)-2sinαcosβ/2sinαsinβ+cos(α+β) 化简sin(α+β)-2sinαcosβ 除以 2sinαsinβ+cos(α+β） 化简 sin(α+β)-2sinαcosβ/1sinαsinβ+cos(α+β) 化简sin^2α+sin^2β-sin^2αsin^2β+cos^2cos^2β 化简sin^2α+sin^2β-sin^2cos^2β-cos^2αsin^2β sin(α+β)-2sinαcosβ/2sinαsinβ+cos(α+β) (1-cos-sin)(1-sin+cos)/sin^2α-sinα 化简：(sin²αtanα+cos²α/tanα+2sinαcosα)sinαcosα sinα-2cosα分之sinα+cosα （sinα+cosα）^2化简 sinα+cosα 化简 化简(sinα+cosβ)^2 3sinα=2cosα,则 cosα-sinα/cosα+sinα/ cos3sinα=2cosα,则cosα-sinα/cosα+sinα/cosα+sinα/cosα-sinα 化简:sin(2π-α)cos(π+α)cos(11π/2-α)/cos(π-α)sin(3π-α)sin(-π-α)sin(9π/2+α)