关于高中三角函数的基本公式都有哪些

平方关系sin^2(α)cos^2(α)=1cos(2a)=cos^2(a)-sin^2(a)=1-2sin^2(a)=2cos^2(a)-1sin(2a)=2sin(a)cos(a)tan^2(α)1=1/cos^2(α)2sin^2(a)=1-cos(2a)cot^2(α)1=1/sin^2(a)积的关系sinα=tanα×cosαcosα=cotα×sinαtanα=sinα×secαcotα=cosα×cscαsecα=tanα×cscαcscα=secα×cotα倒数关系tanα·cotα＝1sinα·cscα＝1cosα·secα＝1商的关系sinα/cosα＝tanα＝secα/cscαcosα/sinα＝cotα＝cscα/secαsinβcosβtanβcotβsecβcscβ360°kαsinαcosαtanαcotαsecαcscα90°-αcosαsinαcotαtanαcscαsecα90°αcosα-sinα-cotα-tanα-cscαsecα180°-αsinα-cosα-tanα-cotα-secαcscα180°α-sinα-cosαtanαcotα-secα-cscα270°-α-cosα-sinαcotαtanα-cscα-secα270°α-cosαsinα-cotα-tanαcscα-secα360°-α-sinαcosα-tanα-cotαsecα-cscα﹣α-sinαcosα-tanα-cotαsecα-cscα两角和与差的三角函数cos(αβ)=cosα·cosβ-sinα·sinβcos(α-β)=cosα·cosβsinα·sinβsin(α±β)=sinα·cosβ±cosα·sinβtan(αβ)=(tanαtanβ)/(1-tanα·tanβ)tan(α-β)=(tanα-tanβ)/(1tanα·tanβ)和差化积公式sinαsinβ=2sin[(αβ)/2]cos[(α-β)/2]sinα-sinβ=2cos[(αβ)/2]sin[(α-β)/2]cosαcosβ=2cos[(αβ)/2]cos[(α-β)/2]cosα-cosβ=-2sin[(αβ)/2]sin[(α-β)/2]积化和差公式sinα·cosβ=(1/2)[sin(αβ)sin(α-β)]cosα·sinβ=(1/2)[sin(αβ)-sin(α-β)]cosα·cosβ=(1/2)[cos(αβ)cos(α-β)]sinα·sinβ=-(1/2)[cos(αβ)-cos(α-β)]倍角公式sin(2α)=2sinα·cosα=2/(tanαcotα)cos(2α)=(cosα)^2-(sinα)^2=2(cosα)^2-1=1-2(sinα)^2tan(2α)=2tanα/(1-tan^2α)cot(2α)=(cot^2α-1)/(2cotα)sec(2α)=sec^2α/(1-tan^2α)csc(2α)=1/2*secα·cscα三倍角公式sin(3α)=3sinα-4sin^3α=4sinα·sin(60°α)sin(60°-α)cos(3α)=4cos^3α-3cosα=4cosα·cos(60°α)cos(60°-α)tan(3α)=(3tanα-tan^3α)/(1-3tan^2α)=tanαtan(π/3α)tan(π/3-α)cot(3α)=(cot^3α-3cotα)/(3cot^2α-1)n倍角公式sin(nα)=ncos^(n-1)α·sinα-C(n,3)cos^(n-3)α·sin^3αC(n,5)cos^(n-5)α·sin^5α-…cos(nα)=cos^nα-C(n,2)cos^(n-2)α·sin^2αC(n,4)cos^(n-4)α·sin^4α-…半角公式sin(α/2)=±√((1-cosα)/2)cos(α/2)=±√((1cosα)/2)tan(α/2)=±√((1-cosα)/(1cosα))=sinα/(1cosα)=(1-cosα)/sinαcot(α/2)=±√((1cosα)/(1-cosα))=(1cosα)/sinα=sinα/(1-cosα)sec(α/2)=±√((2secα/(secα1))csc(α/2)=±√((2secα/(secα-1))辅助角公式AsinαBcosα=√(A^2B^2)sin(αφ）（tanφ=B/A）AsinαBcosα=√(A^2B^2)cos(α-φ）（tanφ=A/B）万能公式sin(a)=(2tan(a/2))/(1tan^2(a/2))cos(a)=(1-tan^2(a/2))/(1tan^2(a/2))tan(a)=(2tan(a/2))/(1-tan^2(a/2))降幂公式sin^2α=(1-cos(2α))/2=versin(2α)/2cos^2α=(1cos(2α))/2=covers(2α)/2tan^2α=(1-cos(2α))/(1cos(2α))三角和的三角函数sin(αβγ)=sinα·cosβ·cosγcosα·sinβ·cosγcosα·cosβ·sinγ-sinα·sinβ·sinγcos(αβγ)=cosα·cosβ·cosγ-cosα·sinβ·sinγ-sinα·cosβ·sinγ-sinα·sinβ·cosγtan(αβγ)=(tanαtanβtanγ-tanα·tanβ·tanγ)/(1-tanα·tanβ-tanβ·tanγ-tanγ·tanα)其它公式1sin(a)=(sin(a/2)cos(a/2))^21-sin(a)=(sin(a/2)-cos(a/2))^2csc(a)=1/sin(a)sec(a)=1/cos(a)cos30=sin60sin30=cos60推导公式tanαcotα=2/sin2αtanα-cotα=-2cot2α1cos2α=2cos^2α1-cos2α=2sin^2α1sinα=[sin(α/2)cos(α/2)]^2