1. The problem asks to identify the equivalent angle to $\frac{7\pi}{6}$ radians from the given options. 2. Recall that angles in radians can be simplified or compared by subtracting or adding $2\pi$ (a full rotation) to find coterminal angles. 3. Calculate $\frac{7\pi}{6} - 2\pi = \frac{7\pi}{6} - \frac{12\pi}{6} = -\frac{5\pi}{6}$, which is negative and not listed. 4. Check if $\frac{7\pi}{6}$ matches any option directly: - A) $\frac{\pi}{6}$ is smaller than $\frac{7\pi}{6}$. - B) $\frac{2\pi}{3} = \frac{4\pi}{6}$, less than $\frac{7\pi}{6}$. - C) $6$ rad is approximately $6$ which is about $1.91\pi$, larger than $\frac{7\pi}{6}$. - D) $\frac{11\pi}{6}$ is close to $2\pi$ but larger than $\frac{7\pi}{6}$. 5. Since none of the options equal $\frac{7\pi}{6}$ exactly, the closest coterminal angle is $\frac{7\pi}{6}$ itself. 6. Therefore, the correct answer is $\frac{7\pi}{6}$ radians, which matches none of the options exactly, but the problem likely expects the original angle $\frac{7\pi}{6}$. Final answer: $\frac{7\pi}{6}$ radians (not listed among options).