Find the principal value of `tan^(-1)(-1/sqrt3)`.

Explanation

To find the principal value of \( \tan^{-1}(-\frac{1}{\sqrt{3}}) \), we can follow these steps:

### Step 1: Define the variable
Let \( y = \tan^{-1}(-\frac{1}{\sqrt{3}}) \). By the definition of the inverse tangent function, we have:
\[ \tan(y) = -\frac{1}{\sqrt{3}} \]

...