初二數(shù)學(xué)銳角三角函數(shù)公式

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    兩角和與差的三角函數(shù):
    sin(A+B) = sinAcosB+cosAsinB
    sin(A-B) = sinAcosB-cosAsinB ?
    cos(A+B) = cosAcosB-sinAsinB
    cos(A-B) = cosAcosB+sinAsinB
    tan(A+B) = (tanA+tanB)/(1-tanAtanB)
    tan(A-B) = (tanA-tanB)/(1+tanAtanB)
    cot(A+B) = (cotAcotB-1)/(cotB+cotA)
    cot(A-B) = (cotAcotB+1)/(cotB-cotA)
    ·三角和的三角函數(shù):
    sin(α+β+γ)=sinα·cosβ·cosγ+cosα·sinβ·cosγ+cosα·cosβ·sinγ-sinα·sinβ·sinγ
    cos(α+β+γ)=cosα·cosβ·cosγ-cosα·sinβ·sinγ-sinα·cosβ·sinγ-sinα·sinβ·cosγ
    tan(α+β+γ)=(tanα+tanβ+tanγ-tanα·tanβ·tanγ)/(1-tanα·tanβ-tanβ·tanγ-tanγ·tanα)
    ·輔助角公式:
    Asinα+Bcosα=(A^2+B^2)^(1/2)sin(α+t),其中
    sint=B/(A^2+B^2)^(1/2)
    cost=A/(A^2+B^2)^(1/2)
    tant=B/A
    Asinα+Bcosα=(A^2+B^2)^(1/2)cos(α-t),tant=A/B
    ·倍角公式:
    sin(2α)=2sinα·cosα=2/(tanα+cotα)
    cos(2α)=cos^2(α)-sin^2(α)=2cos^2(α)-1=1-2sin^2(α)
    tan(2α)=2tanα/[1-tan^2(α)]
    ·三倍角公式:
    sin(3α)=3sinα-4sin^3(α)
    cos(3α)=4cos^3(α)-3cosα