Express `cot200^(@)` in terms of `theta_(R)`.

Explanation

To express \( \cot 200^\circ \) in terms of the reference angle \( \theta_R \), we will follow these steps:

### Step 1: Identify the Quadrant
The angle \( 200^\circ \) lies in the third quadrant. Angles in the third quadrant range from \( 180^\circ \) to \( 270^\circ \).

### Step 2: Find the Reference Angle
The reference angle \( \theta_R \) for any angle in the third quadrant can be calculated using the formula:
\[
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