Q. 125.0( 4 Votes )

Find the value of

Answer :

Given:

Here, we use some trigonometric formulas:


…(i) for |x| ≤ 1


…(ii) for y > 0


Now,



[from(i) & (ii)]



= tan [tan-1 x + tan-1 y]


We know that,


for xy < 1




OR


Taking LHS:




Now, we use the formula


for xy < 1



[in the first two terms, we applied the formula]





Now, we again apply the formula, we get





= tan-1(1)




= RHS


Hence Proved


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