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Prove that : (i) tan^(-1) x + cot^(-1)( ...

Prove that : (i) `tan^(-1) x + cot^(-1)( x+1) = tan^(-1) (x^(2)+x+1)`
(ii) `cot^(-1) 3 + "cosec"^(-1) sqrt(5) = pi/4`

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