证sin^2a x tana+cos^2a x cota+2sinacosa=1/sinacosa

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证sin^2a x tana+cos^2a x cota+2sinacosa=1/sinacosa
证sin^2a x tana+cos^2a x cota+2sinacosa=1/sinacosa

证sin^2a x tana+cos^2a x cota+2sinacosa=1/sinacosa
sin^2a x tana+cos^2a x cota+2sinacosa
=sin³a/cosa+cos³a/sina+2sinacosa
=(sin^4a+cos^4a+2sin²acos²a)/sinacosa
=(sin²a+cos²a)²/sinacosa
=1/sinacosa
得证

sin^2a x tana+cos^2a x cota+2sinacosa
=(1-cos^2a)sina/cosa+(1-sin^2a )cosa/sina+2sina cosa
=sina/cosa-cos^2a*sina/cosa+cosa/sina-sin^2a*cosa/sina+2sina cosa
=sina/cosa+cosa/sina-cosa*sina-...

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sin^2a x tana+cos^2a x cota+2sinacosa
=(1-cos^2a)sina/cosa+(1-sin^2a )cosa/sina+2sina cosa
=sina/cosa-cos^2a*sina/cosa+cosa/sina-sin^2a*cosa/sina+2sina cosa
=sina/cosa+cosa/sina-cosa*sina-sina*cosa+2sina cosa
=sina/cosa+cosa/sina
=sin^2a/(sina cosa)+cos^2a/(sina cosa)
=(sin^2a+cos^2a)/(sina cosa)
=1/(sina cosa)

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证sin^2a x tana+cos^2a x cota+2sinacosa=1/sinacosa 如果f(x)=sin(x+a)+2cos(x+a)是奇函数,则tana=? 证明cos^4 a-sin^4 a=cos^2(1-tana)(1+tana) 证明sin^4 a+cos^4 a=cos^2(1-tana)(1+tana) tana=2,求sin^2a-cos^2a tana=2 sin^a+2cos^2a=? [3sin^2 (a/2)-2sin(a/2)cos(a/2)+cos^2 (a/2)]/[tana+1/tana] 求证sin^2a*tana+cos^2a*1/tana+2sina*cosa=tana+1/tana 化简sin²a*tana+cos²acota+2sinacosa 求证1+2sina cosa/sin^2a-cos^2a=tana+1/tana-1 求证：1+2sina cosa /sin^2a -cos^2a = tana +1/tana -1. 化简：sin^2a*tana+cos^2a/tana+2sina*cosa (1-2sinAcosA)/(cos^2A-sin^2A)=(1-tanA)/(1+tanA) 证明(1-2sinAcosA)/(cos^2A-sin^2A)=(1-tanA)/(1+tanA) 求证：(1-tana)/(1+tana)=(1-2sinacosa)/(cos^2×a-sin^2×a) cos^2a-sin^2a/1+2sinacosa=1-tana/1+tana怎么证明? 已知(tana-1)/tana=-1 求1/sin^2a+2sinacosa-cos^2a tanA=1/ tanA=sinA/ cotA=cosA/ sin^2A+cos^2A=