Q1 B of 126 Page 129

Prove that:


To Prove: tan-1 x + cot-1 (x + 1) = tan-1 (x2 + x + 1)


Formula Used:


1)


2)


Proof:


LHS = tan-1 x + cot-1 (x + 1) … (1)





= tan-1 (x2 + x + 1)


= RHS


Therefore, LHS = RHS


Hence proved.


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