If where a, x ϵ ] 0, 1, then the value of x is

Question

Philoid · Accepted Answer

We have,

We know that,

From (1) and (2) we have,

L.H.S-

From (3), R.H.S-

So, we have 4 tan^-1 a = 2 tan^-1 x

⇒ 2 tan^-1 a = tan^-1 x

But from (3)

So,