Tangent Function: Trigonometric function tan (x) is called a tangent function it is one of the main six trigonometric functions and is generally written as tan x. The tangent function is the ratio of the opposite side and the adjacent side of the angle in consideration in a right-angled triangle. In this article, we will learn about Tangent function definition, Tangent function graph, tangent function values, examples, and others in detail. Tangent of an angle in a right-angled triangle is the ratio of the length of the opposite side to the length of the adjacent side to the given angle. We write a tangent function as "tan". What is a Tangent of a Circle The Latin word ‘ tangent ’ means, ‘to touch’. The tangent of a circle is defined as a straight line that touches the circle at a single point. The point where the tangent touches the circle is called the ‘point of tangency’ or the ‘point of contact’. At the point of tangency, a tangent is perpendicular to the radius of the circle. Shown below is a tangent to the given circle. The tangent function is one of the main six trigonometric functions and is generally written as tan x. It is the ratio of the opposite side and the adjacent side of the angle in consideration in a right-angled triangle. We have various trigonometric identities and formulas related to the tangent function that can be derived using different formulas. The formula for the period of the tangent function f (x) = a tan (bx), is given by, Period = π/|b|. Tangent function tan x is a periodic ...