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Evaluate tan^(-1).(1)/(2)+ tan^(-1).(1)...

Evaluate ` tan^(-1).(1)/(2)+ tan^(-1).(1)/(3)`.

Text Solution

Verified by Experts

`tan^(-1).(1)/(2) + tan ^(-1).(1)/(3)`
`=tan ^(-1) .((1)/(2)+(1)/(2))/(1-(1)/(2) xx(1)/(3)) = tan^(-1).(x(x+1)+1)/((x+1)-x)`
`=tan^(-1) (x^(2) +x^+1)`
= R.H.S
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