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Id a,b,c are distinct non-zero real numb...

Id `a,b,c` are distinct non-zero real numbers having the same sign. Prove that
`Cot^(-1)((ab+1)/(a-b)) +cot^(-1)((bc+1)/(b-c))+ Cot^(-1)((ca+1)/(c-a)) = pi (or) 2 pi`.

Text Solution

Verified by Experts

The correct Answer is:
`2 pi + 0 = 2pi`.
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