Find the principal value of `sec^(-1)((-2)/(sqrt(3)))`

Explanation

To find the principal value of \( \sec^{-1}\left(-\frac{2}{\sqrt{3}}\right) \), we will follow these steps:

### Step 1: Set up the equation
Let \( y = \sec^{-1}\left(-\frac{2}{\sqrt{3}}\right) \). By the definition of the inverse secant function, we have:
\[ \sec(y) = -\frac{2}{\sqrt{3}} \]

...