2(sin^6 α +cos^6α)-3(sin^4a+cos^4α)

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2(sin^6 α +cos^6α)-3(sin^4a+cos^4α)
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2(sin^6 α +cos^6α)-3(sin^4a+cos^4α)
2(sin^6 α +cos^6α)-3(sin^4a+cos^4α)

2(sin^6 α +cos^6α)-3(sin^4a+cos^4α)
sin^6α +cos^6α=(sin^2α+cos^2α)(sin^4α-sin^2αcos^2α+cos^4α)=sin^4α-sin^2αcos^2α+cos^4α
2(sin^6 α +cos^6α)-3(sin^4α+cos^4α)=2sin^4α-2sin^2αcos^2α+2cos^4α-3sin^4α-3cos^4α
=-sin^4α-cos^4α-2sin^2αcos^2α=-(sin^2α+cos^2α)^2=-1

化简sinα^6+cosα^6+3sinα^2cosα^2的结果是 化简:sin^6α+cos^6α+3sin^2α*cos^2α=? 2(sin^6 α +cos^6α)-3(sin^4a+cos^4α)mingbaidian 2(sin^6 α +cos^6α)-3(sin^4a+cos^4α) 利用和差角公式化简 (2)sin(π/3+α)+sin(π/3-α)(2)sin(π/3+α)+sin(π/3-α)(3)cos(π/4+α)-cos(π/4-α)(4)cos(60°+α)+cos(60°-α)(5)sin(α-β)cosβ+cos(α-β)sinβ(6)cos(α+β)cosβ+sin(α+β)sinβ 设角a=-35π/6,则2sin(π+α)cos(π-α)-cos(π+α)/ 1+sin^2α+sin(π-α)-cos^2(π+α)sina=sin(-35π/6)=sin(-6π+π/6)=1/2 cosα=根号3/22sin(π+α)cos(π-α)-cos(π+α)/ [1+sin^2α+sin(π-α)-cos^2(π+α)]=2(-sinα)(-cosα)+cosα/[1+sin² 三角函数题2sin^2α-cos^α+sinα*cosα-6sinα+3cosα=0 求(2cos^α+2sinαcosα)/1+tanα 已知2sin平方α-cos平方α+sinαcosα-6sinα+3cosα=0,求(2cos平方α+2sinαcosα)/1+tanα的值 6sin^2α-sinαcosα-cos^2α=0,求cosα+sinα的值 若sinα+cosβ=2/3 cosα+cosβ=5/6求cos(α-β) 已知6sin²α+sinαcosα-2cos²α=0,α∈(π/2,π),求值1).(sinα-3cosα)/(sinα-cosα);2).sinαcosα-sin²α;3).sin²α-3cosαsinα-2 3sinα=2cosα,则 cosα-sinα/cosα+sinα/ cos3sinα=2cosα,则cosα-sinα/cosα+sinα/cosα+sinα/cosα-sinα sin^6а+cos^6а+3sin²аcos²а化简=(sin^2α+cos^2α)(sin^4α-sin^2α*cos^2α+cos^4α)+3sin^2α*cos^2α这一步的sin四次方是怎么出来的?看不懂,求这一步的详写. 三角函数化简sin^6α+cos^6α+3sin^2α*cos^2α=?急 sin^2(α)+cosαcos(π/3+α)-sin^2(π/6-α)为定值,要证明 1.已知sinα+cosα=(√2)/2,求sin^3α+cos^3α的值.(详解,注:√2表示根号2,sin^3α表示sinα的三次方)2.{cosα/(1+sinα)}-{sinα/(1+cosα)}={2(cosα-sinα)/(1+sinα+cosα)}(详解)3.已知sinα是方程5x^2-7x-6=0的根.求{cos(2 若sinα+sin^2α=1,则cos^2α+cos^6α+cos^8α=? sin α+sin^2α=1,则cos^2 α+cos^6 α+cos^8α=多少?,