The value of \(\tan 30^\circ\) is \(\frac{1}{\sqrt{3}}\) or equivalently \(\frac{\sqrt{3}}{3}\).

This is a standard trigonometric value that you can find on a unit circle or by using the properties of a 30-60-90 right triangle. In such a triangle, the sides are in the ratio \(1 : \sqrt{3} : 2\), and \(\tan 30^\circ\) corresponds to the ratio of the opposite side to the adjacent side for the \(30^\circ\) angle.