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
- Getting a Math Degree: Hacks to Make Your Life Easier
- 10 Most Common 4th Grade MAP Math Questions
- Long Division: How to Deconstruct complex Integrals
- How to Add Three or More Fractions with Like Denominators
- Ambiguous No More: The L’Hôpital’s Rule
- How to Master the World of Conjectures and Counterexamples
- How to Choose the Best Backup Software Solution for School Districts?
- Cracking the Case: How to Understand Word Problems of Interpreting a Graph
- Other Topics Puzzle – Challenge 97
- Standard Form of a Circle
What people say about "How to Graph the Tangent Function? - Effortless Math: We Help Students Learn to LOVE Mathematics"?
No one replied yet.