α是锐角,求证tanα﹢cotα﹢secα﹢cscα≥2(√2+1)

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α是锐角,求证tanα﹢cotα﹢secα﹢cscα≥2(√2+1)

α是锐角,求证tanα﹢cotα﹢secα﹢cscα≥2(√2+1)
α是锐角,求证tanα﹢cotα﹢secα﹢cscα≥2(√2+1)

α是锐角,求证tanα﹢cotα﹢secα﹢cscα≥2(√2+1)
tana+cota+seca+csca
=1/(sinacosa)+(cosa+sina)/(sinacosa)
=(1+cosa+sina)/(sinacosa)
=(1+√2sin(a+45))/(sin2a/2)
=2(1+√2)/sin2a
0=2(√2+1)