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Prove that (1+cos(A-B)cosC)/(1+cos(A-C)c...

Prove that `(1+cos(A-B)cosC)/(1+cos(A-C)cosB)=(a^(2)+b^(2))/(a^(2)+c^(2))`

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The correct Answer is:
`(a^(2) + b^(2) )/( a^(2) + c^(2) )`
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