Let \(a, b\) and \(c\) be positive real numbers. Then prove thatbr /\[br /\tan ^{-1} \sqrt{\frac...

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Let \(a, b\) and \(c\) be positive real numbers. Then prove thatbr /\[br /\tan ^{-1} \sqrt{\frac{a(a+b+c)}{b c}}+\tan ^{-1} \sqrt{\frac{b(a+b+c)}{c a}}+\tan ^{-1} \sqrt{\frac{c(a+b+c)}{a b}}=\pibr /\]
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