To find the reference angle for a rotation of $\frac{5\pi}{6}$ radians, we need to follow these steps:

1. Identify the quadrant: $\frac{5\pi}{6}$ is between $\pi/2$ (90°) and $\pi$ (180°), so it's in the second quadrant.

2. Find the reference angle: The reference angle is the smallest angle between the terminal side of the given angle and the x-axis. For angles in the second quadrant, the reference angle is calculated by subtracting the given angle from $\pi$.

   $\text{Reference Angle} = \pi - \text{Given Angle}$ $\text{Reference Angle} = \pi - \frac{5\pi}{6}$ $\text{Reference Angle} = \frac{6\pi}{6} - \frac{5\pi}{6}$ $\text{Reference Angle} = \frac{\pi}{6}$

So, the reference angle for $\frac{5\pi}{6}$ is $\frac{\pi}{6}$.

Would you like more details or have any further questions about reference angles?

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Here are some related questions for further learning:

1. How do reference angles work in other quadrants?
2. What is the reference angle for $\frac{7\pi}{4}$?
3. How do you convert between radians and degrees?
4. What is the significance of the reference angle in trigonometry?
5. How would you find the reference angle for an angle greater than $2\pi$?

Tip: Remember that reference angles are always positive and are always less than $\pi$.