Find the value of `tan^(-1)(sqrt(3))-sec^(-1)(-2)`.

Explanation

To solve the expression \( \tan^{-1}(\sqrt{3}) - \sec^{-1}(-2) \), we will break it down step by step.

### Step 1: Evaluate \( \tan^{-1}(\sqrt{3}) \)

The value of \( \tan^{-1}(\sqrt{3}) \) corresponds to the angle whose tangent is \( \sqrt{3} \). We know that:

\[
\tan\left(\frac{\pi}{3}\right) = \sqrt{3}
...