VCE Together Year 12 Specialist Mathematics: Graphing Cosec, Sec and Cot

#### Specialist Mathematics

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# Graphing Cosec, Sec and Cot

Graphing Cosec, Sec and Cot is a part of the VCE Specialist Maths topic Functions and Graphs, and subtopic Reciprocal Trigonometric Functions. In this post, we look at the graphs of reciprocal circular functions of cosecant, secant and cotangent. We also look at simple transformations of these functions.

The reciprocal trigonometric functions are:

• cosec(A) = \frac{1}{sin(A)}, sin(A) \neq 0
• sec(A) = \frac{1}{cos(A)}, cos(A) \neq 0
• cot(A) = \frac{cos(A)}{sin(A)}, sin(A) \neq 0

### What is a Reciprocal Function?

This video covers all basic trigonometric ratios and their respective reciprocals, to understand where they come from.

### How to Graph a Reciprocal Function

The following two videos explain how to graph cosecant, cotangent and secant.

### Transforming Reciprocal Functions

The following video explains how to transform reciprocal functions, and how to graph them.

Want to learn more? Check out more of our VCE Mathematics resources here!

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