If `cos^(-1)((n)/(2pi)) gt(2pi)/(3)` then maximum and minimum values of integer n are respectively

Options

A. `-6 and -3`
B. `-6 and -4`
C. `3 nd 6`
D. `4 and 6`

Explanation

To solve the problem, we need to analyze the inequality given by the inverse cosine function and find the maximum and minimum integer values of \( n \).

### Step-by-Step Solution:

1. **Start with the given inequality**:
\[ \cos^{-1}\left(\frac{n}{2\pi}\right) > \frac{2\pi}{3} \]
...