Solve the equations.`tan^(-1)((1-x)/(1+x))=1/2tan^(-1)x ,(x >0)`

Explanation

To solve the equation \( \tan^{-1}\left(\frac{1-x}{1+x}\right) = \frac{1}{2} \tan^{-1}(x) \) for \( x > 0 \), we will follow these steps:

### Step 1: Rewrite the equation
We start with the equation:
\[ \tan^{-1}\left(\frac{1-x}{1+x}\right) = \frac{1}{2} \tan^{-1}(x) \]
We can multiply both sides by 2 to eliminate the fraction:
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