The number of integral values of x satisfying the equation `tan^(-1) (3x) + tan^(-1) (5x) = tan^(-1) (7x) + tan^(-1) (2x)` is ____

The number of integral values of x satisfying the equation `tan^(-1) (

1.	The number of integral values of x satisfying the equation `tan^(-1) (3x) + tan^(-1) (5x) = tan^(-1) (7x) + tan^(-1) (2x)` is ____
Answer» Correct Answer - 1 `tan^(-1) (3x) + tan^(-1) (5x) = tan^(-1) (7x) + tan^(-1) (2x)` or `tan^(-1) (3x) - tan^(-1) (2x) = tan^(-1) (7x) - tan^(-1) (5x)` or `tan^(-1) ((3x -2x)/(1 + 6x^(2))) = tan^(-1) ((7x -5x)/(1 + 35x^(2)))` or `(x)/(1 + 6x^(2)) = (2x)/(1 + 25 x^(2))` `rArr x = 0 " or " 1 + 35x^(2) = 2 + 12 x^(2)` `rArr x = 0 " or " x = (1)/(sqrt23) "or " -(1)/(sqrt23)`

`tan^(-1)[(cosx)/(1+sinx)]`is equal to`pi/4-x/2,forx in (-pi/2,(3pi)/2)``pi/4-x/2,forx in (-pi/2,pi/2)``pi/4-x/2,forx in (-pi/2,pi/2)``pi/4-x/2,forx in (-(3pi)/2,pi/2)`
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