Which of the following is equal to the exact value of tan⁡210∘?

To find the exact value of tan 210°, we need to use the reference angle and the fact that the tangent function is positive in the third quadrant.

Step 1: Find the reference angle The reference angle for 210° is found by subtracting 180° from it, which gives us 30°. So, the reference angle is 30°.

Step 2: Find the tangent of the reference angle The tangent of 30° is 1/√3 or √3/3.

Step 3: Determine the sign Since 210° lies in the third quadrant where tangent is positive, the tangent of 210° is also positive.

So, the exact value of tan 210° is √3/3.