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  • 函數(shù)y=(sin^2+1)(cos^2+3)

    函數(shù)y=(sin^2+1)(cos^2+3)
    函數(shù)y=(sin^2+1)(cos^2+3)
    的最大值是?
    數(shù)學(xué)人氣:120 ℃時(shí)間:2020-10-02 06:14:39
    優(yōu)質(zhì)解答
    y=(sin^2+1)(cos^2+3) =sin^2·cos^2+3sin^2+cos^2+3 =sin^2·cos^2+2sin^2+(sin^2+cos^2)+3=sin^2·cos^2+2sin^2+4, 因?yàn)閟in^2+cos^2=1,移項(xiàng),cos^2=1-sin^2=sin^2(1-sin^2)+2sin^2+4= -(sin^2)^2+3sin^2+4即求...
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