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  • cos36°-cos72°=?

    cos36°-cos72°=?
    cos36-cos72
    =-2sin54sin(-18)這一步看不懂
    =2sin54sin18
    =2cos36sin18
    =2cos36sin18cos18/cos18
    =cos36sin36/cos18
    =sin72/(2cos18)
    =sin72/(2sin72)=1/2
    數(shù)學(xué)人氣:665 ℃時(shí)間:2020-06-16 13:39:53
    優(yōu)質(zhì)解答
    cos36-cos72
    =cos(54-18)-cos(54+18)
    =cos54cos18+sin54sin18-[cos54cos18-sin54sin18]
    =2sin54sin18
    =-2sin54sin(-18)
    =2sin54sin18
    =2cos36sin18
    =2cos36sin18cos18/cos18
    =cos36sin36/cos18
    =sin72/(2cos18)
    =sin72/(2sin72)=1/2
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