# 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 to** **graphing 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 \(x=-\frac{\pi \:\:}{2},\:\frac{\pi \:\:}{2},\:-\frac{3\pi \:\:}{2},\:\frac{3\pi \:\:}{2},\:\frac{5\pi \:\:}{2},…\).

## Related to This Article

### More math articles

- 8th Grade Georgia Milestones Assessment System Math Practice Test Questions
- How to Estimate Negative and Positive Square Roots
- How to Write the Equation of a Cosine Graph?
- Number Properties Puzzle – Challenge 3
- The Ultimate MTTC Mathematics (Elementary) (089) Course (+FREE Worksheets & Tests)
- How Students Can Understand Math for Free
- How to Find Midpoint? (+FREE Worksheet!)
- How Is the PERT Test Scored?
- How to Interpret Remainders of Division Bigger Numbers Via One-digit Numbers
- Decimal Dynamics: How to Master the Art of Adding and Subtracting Decimals

## What people say about "How to Graph the Tangent Function? - Effortless Math: We Help Students Learn to LOVE Mathematics"?

No one replied yet.