The equation cot(θ + π) = cot(θ) illustrates a property of the cotangent function in trigonometry. The cotangent function is periodic, meaning it repeats its values at regular intervals. Specifically, adding π (or 180 degrees) to the angle θ does not change the value of the cotangent, which is why the equation holds true. This property is a result of the cotangent's relationship with the tangent function, as cotangent is the reciprocal of tangent. Since tan(θ + π) equals tan(θ), it follows that cot(θ + π) must equal cot(θ) as well, confirming the periodic nature of these trigonometric functions.