# What is the purpose of the cotangent, secant, and cosecant?

##### 1 Answer

I can think right now, of two purposes.

#### Explanation:

**Naming Ratios**

For 3 numbers there are 6 ratios that can be made. Sine, Cosine and Tangent name 3 of the ratios, and the three you mentioned allow us to name all 6 ratios.

**Avoiding division.**

Example:

If we know that the angle of elevation to the top of a 12 meter tall building is

OR use

We get

Also, **in calculus** many of us prefer to work with multiplication of functions rather than division and prefer, for example,