The tangent function, tan(x), is a trigonometric function that relates an angle in a right-angled triangle to the ratio of the opposite side to the adjacent side. In mathematical terms, tan(x) = sin(x) / cos(x).

The graph of the tangent exhibits periodic patterns and is essential in trigonometry.

It is used in applied sciences and physics to analyze slopes, angles of elevation, and other geometric and trigonometric applications, providing a valuable tool for modeling phenomena related to angles and proportions in various discitplines.

The Tangent Function