Find the value of `cot^(-1)(-sqrt3)+cosec^(-1)(2)+sec^(-1)(-sqrt2)`.

Explanation

To find the value of \( \cot^{-1}(-\sqrt{3}) + \csc^{-1}(2) + \sec^{-1}(-\sqrt{2}) \), we will evaluate each term step by step.

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

The cotangent function is negative in the second quadrant. We know that:
\[ \cot\left(\frac{5\pi}{6}\right) = -\sqrt{3} \]
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