Find the principal value of `cosec^(-1)(2/sqrt3)`.

Explanation

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

### Step 1: Understand the Definition of Inverse Cosecant
The function \( \csc^{-1}(x) \) is defined as the angle \( \theta \) such that \( \csc(\theta) = x \). Therefore, we need to find \( \theta \) such that:
\[ \csc(\theta) = \frac{2}{\sqrt{3}} \]

...