# 5.1: What’s your Inverse?

**At Grade**Created by: CK-12

*This activity is intended to supplement Trigonometry, Chapter 4, Lesson 3.*

## Problem 1

Press and graph . Press **MODE** and make sure **Radian** is highlighted. Press **GRAPH**.

- Press
**ZOOM**,**7:ZTrig**. Graph and determine the domain and range of the function.

- Why is there a restricted domain on this function?

## Problem 2

Press and graph . Press **GRAPH**.

- Graph and determine the domain and range of the function.

## Problem 3

Press and graph . Press *'GRAPH*.

- Graph and determine the domain and range of the function.

For secant, cosecant and cotangent, it is a little more difficult to plug into .

## Problem 4

Prove . This will be how you graph in the graphing calculator.

- Graph your results from above in . Find the domain and range of the function.

## Problem 5

Prove . This will be how you graph in the graphing calculator.

- Graph your results from above in . Find the domain and range of the function.

## Problem 6

Tangent and cotangent have a slightly different relationship. Recall that the graph of cotangent differs from tangent by a reflection over the axis and a shift of . As an equation, it would be . Take the inverse of .

- Graph your results from above in . Find the domain and range of the function.