Find the value of the following: `cos^(-1)(cos((13pi)/6))`

Explanation

To find the value of \( \cos^{-1}(\cos(13\pi/6)) \), we will follow these steps:

### Step 1: Simplify the angle
First, we need to simplify the angle \( \frac{13\pi}{6} \). Since cosine is periodic with a period of \( 2\pi \), we can subtract \( 2\pi \) from \( \frac{13\pi}{6} \) to bring it within the standard range of \( [0, 2\pi) \).

\[ \frac{13\pi}{6} - 2\pi = \frac{13\pi}{6} - \frac{12\pi}{6} = \frac{\pi}{6} \]
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