# How to Graph the Secant Function?

The secant function is the reciprocal of the trigonometric function cosine. In this guide, you will learn more about the graph of the secant function.

**A step-by-step guide to** **graphing the secant function**

The secant function is a periodic function in trigonometry. The secant function can be defined as the ratio of the length of the hypotenuse to the length of the base in a right triangle. It is the reciprocal of the \(cos\) function and, is also written as \(sec x = \frac{1}{cos x}\).

Graphing the secant becomes very easy because we already know the cosine graph, so we can easily derive the graph for \(sec x\) by finding the reciprocal of each \(cos\) value. When the value of \(cos x\) is very small, the value of \(sec x\) will be very large. That is, finding \(\frac{1}{y}\) for each value of \(y\) in the curve \(y= cos x\). The table below shows some angles in radians:

We also see that when the value of the \(cos\) function is zero, the secant function goes to infinity, which means that when the cosine value is \(0\), the secant is undefined. So we get the \(sec x\) graph below:

## Related to This Article

### More math articles

- Complete Guide to Understanding Deductive Reasoning: Principles and Applications
- FREE 4th Grade PARCC Math Practice Test
- Top 10 OAR Math Practice Questions
- How to Solve Finite Geometric Series? (+FREE Worksheet!)
- 5th Grade ILEARN Math Worksheets: FREE & Printable
- Full-Length SSAT Upper Level Practice Test-Answers and Explanations
- 3rd Grade Common Core Math FREE Sample Practice Questions
- What Level of Maths Is Tested on the PSAT/NMSQT®?
- 4th Grade IAR Math FREE Sample Practice Questions
- Math Café: How to Learn the Art of Writing and Solving Two-variable Equations

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

No one replied yet.