If `tan^(-1)x-cot^(-1)x=tan^(-1)""1/(sqrt(3))` find the value of `xdot`

Explanation

To solve the equation \( \tan^{-1} x - \cot^{-1} x = \tan^{-1} \left( \frac{1}{\sqrt{3}} \right) \), we will follow these steps:

### Step 1: Use the identity for cotangent
Recall that \( \cot^{-1} x = \frac{\pi}{2} - \tan^{-1} x \). Using this identity, we can rewrite the equation:

\[ \tan^{-1} x - \left( \frac{\pi}{2} - \tan^{-1} x \right) = \tan^{-1} \left( \frac{1}{\sqrt{3}} \right) \]
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