Choose the correct answer

If , where a, x (0, 1) then, the value of x is


We are given that,


Where, a, x (0, 1).


We need to find the value of x.


Using property of inverse trigonometry,





Then, we can write as



2 tan-1 a + 2 tan-1 a = 2 tan-1 x


4 tan-1 a = 2 tan-1 x


Dividing both sides by 2,



2 tan-1a = tan-1 x


Using property of inverse trigonometry,



Then,



Taking tangent on both sides,




Or,


1