The sum of the series of cot−15√3+cot−19√3+cot−115√3+cot� – InterviewSolution

1.	The sum of the series of cot−15√3+cot−19√3+cot−115√3+cot−123√3+⋯ ∞ is equal to
Answer» The sum of the series of ${cot}^{- 1} \frac{5}{\sqrt{3}} + {cot}^{- 1} \frac{9}{\sqrt{3}} + {cot}^{- 1} \frac{15}{\sqrt{3}} + {cot}^{- 1} \frac{23}{\sqrt{3}} + \dots \infty$ is equal to

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