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Question
Solve for x `tan^-1((1 - x)/(1 + x)) = 1/2 tan^-1x, x > 0`
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Solution
From given equation
We have `2tan^-1 ((1 - x)/(1 + x)) = tan^-1x`
⇒ `2[tan^-1 1 - tan^-1x] = tan^-1x`
⇒ `2(pi/4) = 3tan^-1x`
⇒ `pi/6 = tan^-1x`
⇒ x = `1/sqrt(3)`
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