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.

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 …

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. \[y=A\tan(Bx) \nonumber\]

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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

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.

y = tan θ is known as the tangent function. Using the unit circle, we can plot the values of y against the corresponding values of θ. The graph of y = tan θ, for 0˚ ≤ θ ≤ 360˚ obtained is as shown: Properties of the tangent function: The curve is not continuous. It breaks at θ = 90˚ and 270˚, where the function is undefined

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.

In these lessons, we will look at the graphs of the trigonometric functions: sine, cosine and tangent and how to determine the domain, range, and period of the sine, cosine, and tangent functions. Related Pages. The sine function forms a wave that starts from the origin. sin θ = 0 when θ = 0˚, 180˚, 360˚, …