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,