勾股定理就是A^2B^2=C^2C為直角

勾股定理就是A^2*B^2=C^2C為直角·平方關(guān)系：sin^2α＋cos^2α＝11＋tan^2α＝sec^2α1＋cot^2α＝csc^2α·積的關(guān)系：sinα=tanα×cosαcosα=cotα×sinαtanα=sinα×secαcotα=cosα×cscαsecα=tanα×cscαcscα=secα×cotα·倒數(shù)關(guān)系：tanα·cotα＝1sinα·cscα＝1cosα·secα＝1商的關(guān)系：sinα/cosα＝tanα＝secα/cscαcosα/sinα＝cotα＝cscα/secα直角三角形ABC中,角A的正弦值就等于角A的對(duì)邊比斜邊,余弦等于角A的鄰邊比斜邊正切等于對(duì)邊比鄰邊,·[1]三角函數(shù)恒等變形公式·兩角和與差的三角函數(shù)：cos(α+β)=cosα·cosβ-sinα·sinβcos(α-β)=cosα·cosβ+sinα·sinβsin(α±β)=sinα·cosβ±cosα·sinβtan(α+β)=(tanα+tanβ)/(1-tanα·tanβ)tan(α-β)=(tanα-tanβ)/(1+tanα·tanβ)·三角和的三角函數(shù)：sin(α+β+γ)=sinα·cosβ·cosγ+cosα·sinβ·cosγ+cosα·cosβ·sinγ-sinα·sinβ·sinγcos(α+β+γ)=cosα·cosβ·cosγ-cosα·sinβ·sinγ-sinα·cosβ·sinγ-sinα·sinβ·cosγtan(α+β+γ)=(tanα+tanβ+tanγ-tanα·tanβ·tanγ)/(1-tanα·tanβ-tanβ·tanγ-tanγ·tanα)·輔助角公式：Asinα+Bcosα=(A2+B2)^(1/2)sin(α+t)，其中sint=B/(A2+B2)^(1/2)cost=A/(A2+B2)^(1/2)tant=B/AAsinα-Bcosα=(A2+B2)^(1/2)cos(α-t)，tant=A/B·倍角公式：sin(2α)=2sinα·cosα=2/(tanα+cotα)cos(2α)=cos2(α)-sin2(α)=2cos2(α)-1=1-2sin2(α)tan(2α)=2tanα/[1-tan2(α)]·三倍角公式：sin(3α)=3sinα-4sin3(α)=4sinα·sin(60+α)sin(60-α)cos(3α)=4cos3(α)-3cosα=4cosα·cos(60+α)cos(60-α)tan(3α)=tana·tan(π/3+a)·tan(π/3-a)·半角公式：sin(α/2)=±√((1-cosα)/2)cos(α/2)=±√((1+cosα)/2)tan(α/2)=±√((1-cosα)/(1+cosα))=sinα/(1+cosα)=(1-cosα)/sinα·降冪公式sin2(α)=(1-cos(2α))/2=versin(2α)/2cos2(α)=(1+cos(2α))/2=covers(2α)/2tan2(α)=(1-cos(2α))/(1+cos(2α))·萬(wàn)能公式：sinα=2tan(α/2)/[1+tan2(α/2)]cosα=[1-tan2(α/2)]/[1+tan2(α/2)]tanα=2tan(α/2)/[1-tan2(α/2)]·積化和差公式：sinα·cosβ=(1/2)[sin(α+β)+sin(α-β)]cosα·sinβ=(1/2)[sin(α+β)-sin(α-β)]cosα·cosβ=(1/2)[cos(α+β)+cos(α-β)]sinα·sinβ=-(1/2)[cos(α+β)-cos(α-β)]·和差化積公式：sinα+sinβ=2sin[(α+β)/2]cos[(α-β)/2]sinα-sinβ=2cos[(α+β)/2]sin[(α-β)/2]cosα+cosβ=2cos[(α+β)/2]cos[(α-β)/2]cosα-cosβ=-2sin[(α+β)/2]sin[(α-β)/2]·推導(dǎo)公式tanα+cotα=2/sin2αtanα-cotα=-2cot2αsinx^2+cosx^2=1tanx=sinx/cosxtan^x=sin^x/(1-sin^x)=(1-cos^x)/cos^xsina=cos(90-a);sina=cos(a-90);cosa=sin(90-a);cosa=-sin(a-90);tana=sina/cosa;sin^2a+cos^2a=1.積化和差公式sinacosb=(1/2)(sin(a+b)+sin(a-b))cosasinb=(1/2)(sin(a+b)-sin(a-b))cosacosb=(1/2)(cos(a+b)+cos(a-b))sinasinb=-(1/2)(cos(a+b)-cos(a-b))三倍角公式sin3a=3sina-4(sina)^3cos3a=4(cosa)^3-3cosatg3a=[3tga-(tga)^3]/[1-3(tga)^3]1.誘導(dǎo)公式sin(-a)=-sin(a)cos(-a)=cos(a)sin(π/2-a)=cos(a)cos(π/2-a)=sin(a)sin(π/2+a)=cos(a)cos(π/2+a)=-sin(a)sin(π-a)=sin(a)cos(π-a)=-cos(a)sin(π+a)=-sin(a)cos(π+a)=-cos(a)2.兩角和與差的三角函數(shù)sin(a+b)=sin(a)cos(b)+cos(α)sin(b)cos(a+b)=cos(a)cos(b)-sin(a)sin(b)sin(a-b)=sin(a)cos(b)-cos(a)sin(b)cos(a-b)=cos(a)cos(b)+sin(a)sin(b)tan(a+b)=tan(a)+tan(b)/1-tan(a)tan(b)tan(a-b)=tan(a)-tan(b)/1+tan(a)tan(b)3.和差化積公式sin(a)+sin(b)=2sin(a+b2)cos(a-b2)sin(a)?sin(b)=2cos(a+b2)sin(a-b2)cos(a)+cos(b)=2cos(a+b2)cos(a-b2)cos(a)-cos(b)=-2sin(a+b2)sin(a-b2)4.二倍角公式sin(2a)=2sin(a)cos(b)cos(2a)=cos2(a)-sin2(a)=2cos2(a)-1=1-2sin2(a)5.半角公式sin^2(a/2)=(1-cosa)/2cos^2(a/2)=(1+cosa)/26.萬(wàn)能公式sin(a)=2tan(a2)1+tan2(a2)cos(a)=1-tan2(a2)1+tan2(a2)tan(a)=2tan(a2)1-tan2(a2)7.其它公式(推導(dǎo)出來(lái)的)a?sin(a)+b?cos(a)=a2+b2sin(a+c)其中tan(c)=baa?sin(a)+b?cos(a)=a2+b2cos(a-c)其中tan(c)=ab1+sin(a)=(sin(a2)+cos(a2))2sin(a)=(sin(a2)-cos(a2))2sin指直角三角形的對(duì)邊長(zhǎng)與斜邊長(zhǎng)的比值cos指直角三角形的鄰邊長(zhǎng)與斜邊長(zhǎng)的比值tan指直角三角形的對(duì)邊長(zhǎng)與鄰邊長(zhǎng)的比值物理力的分解習(xí)題,幫忙解答下啊[

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