Tan is short for Tangent. Its British pronunciation is ['t? ndnt]； The American pronunciation is ['t? Ndnt]. As an adjective, it means contact; Tangent line; Off topic. As a noun, it means tangency; Tangent line; Turn suddenly.

Related examples:

Used as a noun

1, the graph of the concave function is always below its tangent.

The image of a concave function is always below its tangent.

2. Both the approaching and returning movements are along the tangent direction of the circle.

After circling, the movement direction is from south to north, and it also moves along the tangent direction of the circumference.

Extended data:

First, Tan's mathematical definition

Tan stands for tangent, and the angle θ in any right triangle, the ratio of the opposite side to the adjacent side corresponding to θ is called the tangent of the angle θ. If θ is placed in a rectangular coordinate system, that is, tan θ = y/x. TanA= opposite side/adjacent side. Equivalent to the slope k of a straight line in a rectangular coordinate system.

Second, the sum and difference formula of two angles

tan(α+β)=(tanα+tanβ)/( 1-tanαtanβ)

tan(α-β)=(tanα-tanβ)/( 1+tanαtanβ)

Third, trigonometric functions.

Trigonometric function is a kind of transcendental function in elementary function in mathematics. Their essence is the mapping between the set of arbitrary angles and a set of ratio variables.

The usual trigonometric function is defined in the plane rectangular coordinate system, and its domain is the whole real number domain. The other is defined in a right triangle, but it is incomplete. Modern mathematics describes them as the limit of infinite sequence and the solution of differential equation, and extends their definitions to complex system.

References:

Baidu Encyclopedia-Tan