# Become an Expert in Inverse Trig Functions

## What you'll learn

- How to Graph Inverse Sine and Identify the Domain and Range
- How to Find the Exact Value of Inverse Sine Using the Unit Circle
- How to Graph Inverse Cosine and Identify the Domain and Range
- How to Find the Exact Value of Inverse Cosine Using the Unit Circle
- How to Graph Inverse Tangent and Identify the Domain and Range
- How to Find the Exact Value of Inverse Tangent Using the Unit Circle
- How to Graph Inverse Cotangent and Identify the Domain and Range
- How to Find the Exact Value of Inverse Cotangent Using the Unit Circle
- How to Graph Inverse Secant and Identify the Domain and Range
- How to Find the Exact Value of Inverse Secant Using the Unit Circle
- How to Graph Inverse Cosecant and Identify the Domain and Range
- How to Find the Exact Value of Inverse Cosecant Using the Unit Circle
- How to Find the Composition of Inverse Trig Functions Using the Unit Circle
- How to Evaluate Trig Functions Involving Inverse Trig Functions
- How to Algebraically Find the Inverse of a Trig Function

## Requirements

- Understand the Unit Circle
- Basic Algebra

## Description

This course is all about evaluating the six inverse trig functions in great detail, which is a topic covered in Precalculus Trigonometry at the University level.

Once you complete this course, you will know:

Section 1:

How to Graph Inverse Sine and Identify the Domain and Range

How to Find the Exact Value of Inverse Sine Using the Unit Circle

Section 2:

How to Graph Inverse Cosine and Identify the Domain and Range

How to Find the Exact Value of Inverse Cosine Using the Unit Circle

Section 3:

How to Graph Inverse Tangent and Identify the Domain and Range

How to Find the Exact Value of Inverse Tangent Using the Unit Circle

Section 4:

How to Graph Inverse Cotangent and Identify the Domain and Range

How to Find the Exact Value of Inverse Cotangent Using the Unit Circle

Section 5:

How to Graph Inverse Secant and Identify the Domain and Range

How to Find the Exact Value of Inverse Secant Using the Unit Circle

Section 6:

How to Graph Inverse Cosecant and Identify the Domain and Range

How to Find the Exact Value of Inverse Cosecant Using the Unit Circle

Section 7:

How to Find the Composition of Inverse Trig Functions Using the Unit Circle

(when the inner function is a trig function and the outer function is an inverse trig function).

Section 8:

Evaluating Trig Functions Involving Inverse Trig Functions

(when the inner function is an inverse trig function and the outer function is a trig function).

Section 9:

How to Algebraically Find the Inverse of a Trig Function

Section 10 (Extra):

Attached, as a resource:

1) An overview of concepts for inverse trig functions (handwritten)

2) Hand-written problems that I work out, showing all steps.

For each section (1-9), you are given:

1. An article explaining concepts, details, and the example that is used in the video.

2. A video showing a visual of the example in the article.

3. Resource: Practice problems (attached to the last lecture of each section)

4. Resource: The Answer key to the practice problems (attached to the last lecture of each section)

5. A short quiz to test your knowledge

Remember, practice is key to becoming an expert at mathematics!

If you watch each video, read each article, and work the practice problems given after each video, you will have a good understanding of how to evaluate inverse trig functions!

Sincerely,

➕MathAngel369➕

## Who this course is for:

- Students taking a Trigonometry class

## Course content

- 02:31Graphing Inverse Sine and Identifying the domain and Range (Article)
- Preview10:34
- 2 questionsGraphing Inverse Sine and Identifying the Domain and Range (Quiz)
- 02:13Inverse Sine | How to Find the Exact Value Using the Unit Circle (Article)
- Preview04:04
- 3 questionsInverse Sine | How to Find the Exact Value (Quiz)

## Instructor

My name is Angela Morgan-Green and I am the creator of MathAngel369. I hold a Masters Degree in Applied Mathematics (2018) and a Bachelors Degree in Mathematics, minor in Chemistry (2008).

I have a career as a Lecturer in Mathematics (University); teaching since Fall of 2019.

Outside of work, I record math videos in my home studio so I can serve as a resource for others who wish to learn math on their own time.

In addition to my videos, I provide math discussions that include details and concepts of the examples discussed in my videos.

Lastly, I include hand written notes that I use to teach my college students. My notes contain an overview, concepts, and tons of additional problems solved, showing each step.

As a lecturer (2019-present), I have experience teaching traditional, online, and hybrid classes at the University level.

As a former Graduate Teaching Assistant (2017-2019), I have experience tutoring and teaching undergraduate students.

To be honest, I didn’t really learn math in school. During class, the lectures would go clean over my head. I had to teach myself and learn math alone.

On the upside to this, my struggles became my greatest strength because it helped me learn how to reach others who struggle in math the way I did.

I hope that my discussions, videos, and notes help you on your math journey!

Sincerely,

MathAngel369