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In the triangle ABC, if the sides a,b re...

In the triangle ABC, if the sides a,b reamain constant but the base angles A and B very, then show that,
`(dA)/(sqrt(a^(2) - b^(2) sin^(2)A)) = (dB)/(sqrt(b^(2) - a^(2) sin^(2)B)).`

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