The following activity sheets will teach your students how to use inverse functions in trigonometry.

#### What are inverse functions? Definition: These functions refer to Undo or Inverse the first act. As in tying the shoes, that would be your first step. Then, what should be the inverse function? It would be untying the shoes. Simple! In mathematical form! For the first act; Function f (x) 2x – 5. If you have x value and put it into f (x) so, what would be the status of x? You will multiple (x) by two then, subtract the answer by 5. For inverse act; What two values will you need to reverse or undo f(x)? You will require to do division & subtraction. So, the inverse would be { f(x) = 2x – 5 }. Example 1: Consider here the equation to understand the inverse function mathematically. f = {(7, 3), (8, –5), (–2, 11), (–6, 4)} -> (1). The above (1) equation is perfect in the sense that all values under a set of different pairs are unique. Also, they all do not repeat after one. Due to this reason, we can say that (f) that is the equation is surely an inverse function.

Inverse functions completely undo any action of an alternate function. Most of them are exponentially the negative exponent of a fixed function. This is present when we are trying to convert a Celsius temperature to a Fahrenheit temperature. The inverse of a Celsius temperature is equal to a Fahrenheit temperature. With this topic you will be given a set of ordered pairs and asked if another set of ordered pairs is the inverse. If the pair is properly interchanged, then you can be sure it is the inverse. Your students will use these worksheets in order to practice identifying these types of functions, as well as applying them to solve trigonometric problems. These worksheets explain how to determine the inverse of a function, of trig functions, and how to use a calculator to find these values of a function. Instructors please note: One set of activities uses calculators.

### Get Free Worksheets In Your Inbox! # Print Inverse Functions Worksheets

## Inverse Functions Lesson

This worksheet explains how to find the inverse of a function. A sample problem is solved, and two practice problems are provided.

## Worksheet

Ten problems are provided. Example problem: Using composition of functions, show that f(x) = 5x - 4 and g(x)= 2x - 1 are inverse functions.

## More Practice

Students will solve a variety of problems to determine the inverse of each function. Ten problems are provided.

## Review and Practice

The example that is proposed show you how to work through. Example: The inverse of a function is the set of ordered pairs obtained by interchanging the first and second elements of each pair in the original function. In the sample question the pair are not interchanged hence it is not the inverse of the function. Six practice problems are provided.

## Quiz

Students will demonstrate their proficiency finding the end value of this skill. Ten problems are provided.

## Skills Check

Students will work on finding the concept of the inverse. Three problems are provided, and space is included for students to copy the correct answer when given.

## Inverse Trig Functions Lesson

This worksheet explains how find the inverse of trigonometry functions. A sample problem is solved, and two practice problems are provided.

## Worksheet

Example problem: Find the value of θ in radians considering the principal inverse function: θ = arc sin(1)

## More Practice

Students will find the start to identify equations that are equivalent. Ten problems are provided.

## Skill Review and Practice

Students review how to find the inverse of a wide selection of trigonometry functions. Six practice problems are provided.

## Quiz

Students will demonstrate their proficiency with this skill and get to see where they stand. Ten problems are provided.

## Topic Check

These are slight different applications of trigonometry functions. Example problem: In a right triangle, the legs have lengths 9 and 5. Find angle A? Three problems are provided, and space is included for students to copy the correct answer when given.

## Using a Calculator to Find the Inverse Function Lesson

This worksheet explains how to use a calculator to find the inverse function. A sample problem is solved, and two practice problems are provided.

## Worksheet

Students will use a calculator to solve the problems that are presented. Ten problems are provided.

## Practice Worksheet

Students will find the inverse of the given functions using a calculator. Ten problems are provided.

## Using a Calculator Review and Practice

Students review how to use a calculator to find the end value of many different trig measures. Six practice problems are provided.

## Using a Calculator Quiz

Time to see how well you push those buttons. Ten problems are provided.

## Calc Skills Check

One last go to see how we manage that there calculator. Three problems are provided, and space is included for students to copy the correct answer when given.