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  • 已知cos(α+5π/12)=1/3,且-π

    已知cos(α+5π/12)=1/3,且-π
    數(shù)學(xué)人氣:666 ℃時(shí)間:2020-06-14 04:05:22
    優(yōu)質(zhì)解答
    -π<α<-π/2,
    -π+5π/12<α+5π/12<-π/2+5π/12
    -7π/12<α+5π/12<-π/12
    cos(α+5π/12)=1/3
    -π/2<α+5π/12<-π/12
    cos(π/12-α)
    =cos[(π/2-5π/12)-α]
    =cos[π/2-(5π/12+α)]
    =sin(5π/12+α)
    =-2√2/3
    cos(7π/12-α)
    =cos[(π-5π/12)-α]
    =cos[π-(5π/12+α)]
    =-cos(α+5π/12)
    =-1/3
    cos(α+17π/12)
    =cos(π+α+5π/12)
    =-cos(α+5π/12)
    =-1/3
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