# Secant Function Definition

In Mathematics, the **Secant function** is defined as the **ratio** between the **Hypotenuse** and **Perpendicular** of a given **Right Triangle**. Simply, if we divide the **Hypotenuse** by the **Perpendicular** of a triangle, the resultant will be **Secant** Function.

**Note:**

Read about the **Hypotenuse**, Perpendicular, and **Right Triangle** in detail.

In **Trigonometry** (A field of Mathematics in which we deal with triangles), some functions are described based on the **involvement** of **sides** of triangles and **angles**. The **Secant Function** is one of those particular functions that are defined in this field of Mathematics.

**Table of Contents**

**Note:**

Read about **Trigonometry** here.

## The formula for Secant Function

Like other functions, Secant also has a particular formula and representation. In Mathematics, it is represented as **Sec θ**. Here is the formula by following which you can find the Secant function for any right angle triangle.

Sec θ = Hypotenuse / Perpendicular

In simple words, you only have to divide the Hypotenuse by a Perpendicular to find this function.

### What type of function is Secant?

In Mathematics and Physics, two major types of functions (**Periodic** and **Aperiodic**) are discussed. It is important to know about the category in which Secant falls. Actually, **Secant** is a **periodic** function because it keeps **repeating** its **values** after a specific **period**.

**Note:**

Read about **Periodic** and **Aperiodic** functions here.

### Fun Facts about Secant Function

- It is an important function in the Trigonometry field.
- Secant is the reciprocal of a basic Trigonometry function cos.
- This function keeps repeating its values after a specific period.
- The secant function is used to solve a Right Triangle.

### FAQ's

**What do you mean by the Secant function in Trigonometry?**

It is a particular function in Trigonometry that is the ratio between the Hypotenuse and Perpendicular of a Right Triangle.

**Can we describe Secant in terms of Cos?**

Yes, Secant is the reciprocal of Cos which is a basic Trigonometric function. Here is the formula to describe Secant in terms of Cos.

Sec θ = 1/Cos θ

**In which quadrant Secant is negative?**

In the second and third quadrants, the value of Secant will be negative.