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If (cos^4A)/(cos^2B)+(sin^4A)/(sin^2B)=1...

If `(cos^4A)/(cos^2B)+(sin^4A)/(sin^2B)=1` then prove that `(cos^4B)/(cos^2A)+(sin^4B)/(sin^2A)=1`

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`(cos^(4)A)/(cos^(2)B)+(sin^(4)A)/(sin^(2)B)=1`
`rArr (cos^()Asin^(2)B + sin^(4)Acos^(4)B)/(cos^(2)B sin^(2)B)=1`
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