x cot^(-1)x...

`x cot^(-1)x`

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Prove that (cot^(-1)x+"cot"^(-1)1/x) is a constant.

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Prove that cot^-1x+cot^(-1)(1/x) is a constant.

The set of values of x satisfying |tan^(-1)x|>=|cot^(-1)x| is

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cot^-1(-x) = pi - cot^-1x , x in R

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