# How to Graph the Tangent Function?

The tangent function is one of the basic trigonometric functions. In this post, you will learn more about the tangent function and graph it.

## Step-by-step guide tographing the tangent function

The tangent function is one of the six main trigonometric functions and is generally written as $$tan x$$. It is the ratio of the opposite side and the adjacent side of the given angle in a right triangle.

The graph of the $$tan$$ function is a discontinuous graph because $$tan x$$ is not defined at odd multiples of $$\frac{π}{2}$$, that is, $$tan x$$ is not defined for $$x = \frac{kπ}{2}$$, where $$k$$ is an odd integer. Also, since the $$tan$$ function has a period of $$π$$, its values repeat after every $$π$$ radian, and hence, the curve pattern repeats after every $$π$$ radian. As we can see in the graph of the tangent function given below, the function has vertical asymptotes at $$x=-\frac{\pi \:\:}{2},\:\frac{\pi \:\:}{2},\:-\frac{3\pi \:\:}{2},\:\frac{3\pi \:\:}{2},\:\frac{5\pi \:\:}{2},…$$.

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