该符号最早由 数学家 湯瑪斯·芬克 （英语：Thomas Fincke） （Thomas Fincke）所采用。 在 直角三角形 中，一个锐角的 正切 定义为它的對邊与鄰邊的比值，也就是： {\displaystyle \tan …

In fact Sine and Cosine are like good friends: they follow each other, exactly π /2 radians (90°) apart. The Tangent function has a completely different shape ... it goes between negative and positive Infinity, crossing through 0, and at every π radians (180°), as shown on this plot.

To graph the tangent function, we mark the angle along the horizontal x axis, and for each angle, we put the tangent of that angle on the vertical y-axis. The result, as seen above, is rather jagged curve that goes to positive infinity in one direction and negative infinity in the other.

Let's modify the tangent curve by introducing vertical and horizontal stretching and shrinking. As with the sine and cosine functions, the tangent function can be described by a general equation. \[y=A\tan(Bx) \nonumber\]

What is the tan graph? The tan graph is a visual representation of the tangent function for a given range of angles. The horizontal axis of a trigonometric graph represents the angle, usually written as \theta , and the y -axis is the tangent function of that angle.

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We learn why graphs of tan, cot, sec and cosec have a periodic gap in them (also known as a discontinuity). We learn how to sketch the graphs. Skip to main content

2014年7月30日 · The page explains how to sketch these trigonometric curves, mostly by considering the denominator (the bottom) of the function expression. Each of the curves tan θ, cot θ, sec θ and csc θ has a discontinuity, or "gap" in the curve. For example, tan θ is defined by:

Given an angle θ θ (in either degrees or radians) and the (x,y) (x, y) coordinates of the corresponding point on the unit circle, we define tangent as. Just like sine and cosine, tangent is a function that takes angles as inputs. Note that since sin(θ)= y sin (θ) = y and cos(θ)= x, cos (θ) = x, we can also define tangent as.

Graph of $y = \tan x$ (periodic with period $\,\pi\,$) The Tangent Function: Definition and Comments. Let $\,t\,$ be a real number (with restrictions noted below). Think of $\,t\,,$ if desired, as the radian measure of an angle. By definition: $$\tan t := \frac{\sin t}{\cos t}$$