Final answer:
The numerical value of tan(270) is undefined.
Step-by-step explanation:
Given that θ = 270°, we can determine the numerical value of the function tan(θ).
The tangent function is defined as the ratio of the opposite side to the adjacent side in a right triangle.
Since θ = 270°, this angle is in the fourth quadrant. In the fourth quadrant, the tangent function is positive. So, we can look for the positive tangent value for the reference angle in the first quadrant which is 90° - θ = 90° - 270° = -180°.
The function tan(-180°) is undefined, so the numerical value of tan(θ) is undefined as well.