Become an Expert in Inverse Trig Functions

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 thoroughly understand the graphs of the six inverse trig functions. You will also be able to identify the domain and range, find the exact value and algebraically find the inverse of a trig function.

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