सिद्ध कीजिए कि `tan^(-1)x+cot^(-1)(x+1)=tan^(-1)(x^(2)+x+1)`

L. H. S. `=tan^(-1)x+cos^(-1)(x+1)`
`=tan^(-1)x+tan^(-1)""(1)/(x+1)`
`=tan^(-1)""(x+(1)/(x+1))/(1-x.(1)/(x+1))=tan^(-1)""(-1x(x+1)+1)/((x+1)-x)`
`=tan^(-1)(x^(2)+x+1)` = R.H.S. यही सिद्ध करना था।

सिद्ध कीजिए कि `tan^(-1)x+cot^(-1)(x+1)=tan^(-1)(x^(2)+x+1)`

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