化简(1-sin^6 a-cos^6 a)/(cos^2 a-cos^4 a)==

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化简(1-sin^6 a-cos^6 a)/(cos^2 a-cos^4 a)==

化简(1-sin^6 a-cos^6 a)/(cos^2 a-cos^4 a)==
化简(1-sin^6 a-cos^6 a)/(cos^2 a-cos^4 a)==

化简(1-sin^6 a-cos^6 a)/(cos^2 a-cos^4 a)==
=[1-(sin²a+cos²)(sin^4a-sin²acos²a+cos^4a)]/cos²a(1-cos²a)
=[1-(sin^4a+2sin²acos²a+cos^4a)+3sin²acos²a]/cos²asin²a
=[1-(sin²a+cos²a)²+3sin²acos²a]/cos²asin²a
=3cos²asin²a/cos²asin²a
=3

(1-sin^6 a-cos^6 a)/(sin^2 a-sin^4 a)
=[1-(cos^6 a+sin^6 a)]/(sin^2 a-sin^4 a)
=[1-(cos^2a+sin^2a)(cos^4a-sin^2a*cos^2a+sin^4a)]/sin^2a(1-sin^2a)
=(1-cos^4a+sin^2a*cos^2a-sin^4a)/(sin^2a*cos^2a)
=[(1-cos^2a)(1+cos^2a)+cos^2asin^2a-sin^4a]/(sin^2a*cos^2a)
=[sin^2a+sin^2acos^2a+cos^2asin^2a-sin^4a]/(sin^2a*cos^2a)
=3sin^2acos^2a/(sin^2a*cos^2a)
=3


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