tangent

A tangent is a line that touches the curve or a circle at a point. The point at which the tangent line and the curve meets is called the point of tangency.

This phrase often occurs in the idioms fly off or go off on a tangent, as in The witness was convincing until he went off on a tangent. This expression alludes to the geometric tangent - a line or curve that touches but does not intersect with another line or curve. [

tangent, one of the six trigonometric functions, which, in a right triangle ABC, for an angle A, istan A = length of side opposite angle Alength of side adjacent to angle A.

adjective. in immediate physical contact; touching. Geometry. touching at a single point, as a tangent in relation to a curve or surface.

In geometry, a tangent is the line drawn from an external point and passes through a point on the curve. One real-life example of a tangent is when you ride a bicycle, every point on the circumference of the wheel makes a tangent with the road.

In calculus, a tangent is the line of the slope of the curve at a particular point. It is the line that touches the curve at any particular point that goes in the same direction as the curve at that point.

The word "tangent" comes from the Latin tangere, "to touch".

The tangent to a curve at a given point is a straight line which “just touches” the curve at that point. The gradient of the tangent is equal to the derivative of the curve evaluated at the point where the curve and tangent line meet.

The easiest way is to solve the system between the equation of the circle and the equation of the line. The equation that solves that system is quadratic. If the Δ of that equation is zero, the line is tangent, if it is positive the line is secant, if it is negative the line is external.

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.

In geometry, a tangent is the line drawn from an external point and passes through a point on the curve. One real-life example of a tangent is when you ride a bicycle, every point on the circumference of the wheel makes a tangent with the road.

In geometry, the tangent line (or simply tangent) to a plane curve at a given point is, intuitively, the straight line that "just touches" the curve at that point. Leibniz defined it as the line through a pair of infinitely close points on the curve.