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  4. If a>b>c>0 , and (cot)- 1((a b + 1/a - b))+(cot)- 1((b c + 1/b - c))+(cot)- 1((c a + 1/c - a)) is kπ then k is equal to .....

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Q. If $a>b>c>0$ , and $\left(cot\right)^{- 1}\left(\frac{a b + 1}{a - b}\right)+\left(cot\right)^{- 1}\left(\frac{b c + 1}{b - c}\right)+\left(cot\right)^{- 1}\left(\frac{c a + 1}{c - a}\right)$ is $k\pi $ then $k$ is equal to .....

NTA AbhyasNTA Abhyas 2022

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