Find the value of `tan^(-1)(x/y)-tan^(-1)((x-y)/(x+y))`

1.	Find the value of `tan^(-1)(x/y)-tan^(-1)((x-y)/(x+y))`
Answer» We have, `tan^(-1)(x/y)-tan^(-1)((x-y)/(x+y))` `=tan^(-1)(x/y)-tan^(-1)(x-y)/(x+y)`. `=tan^(-1)(x/y)-tan^(-1){(x/y-1)/(x/y+1))}` `=tan^(-1)(1)=pi/4`.

Discussion

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