Trigonometry Mastered
Having trouble learning Trigonometry? Don't know where to start? Well you are in the right place. I want to welcome you to a course on Trigonometry where you will acquire skills to become an Expert on Right Angle, Unite Circle, Analytic Trigonometry and Polar Coordinates. I have created this course for students to have a place where they can learn, understand and excel in Trigonometry in order to have a strong foundation for more advanced courses like Calculus.
Read more about the course
The course consist of an extensive curriculum teaching you different essential concepts and skills.
At the end of this course, you will be able to,
- Fully understand the Unite Circle.
- Learn how to find Terminal Points, Reference Numbers and Reference Angles.
- Learn what are Trigonometric Functions.
- Master graphing Trigonometric Functions.
- Be able to determine Domain and Range of Trig Functions.
- Be able to use the Law of Sins and Cosines.
- Proof Trig functions and identities.
- Master the different Trigonometric Formulas.
- Be able to go from Polar to Rectangular Coordinate and back.
- Be able to graph Polar Equations.
- Use De Moiver's Theorem.
- Find the nth Roots of Complex Numbers.
How is it delivered?
I know visually seeing a problem getting solved is the easiest and the most direct way for a student to learn so I designed the course keeping this in mind. I go through concepts and problems using electronic pen and paper, explaining each step along the way so you have a lear idea how to go from A to B to C without any problem.
How do I learn better?
There are quizzes after each section so you can test your knowledge and see how much of the material has sank in. There are also practice problem attached to the lectures so you could practice what you learn. I suggest you go through each lesson several times to better understand the topics.
- Have a background in High School Algebra.
- Know what is a functions, domain, range, evaluating values into functions and graphing.
- Know how to preform operations (+, -, x, ÷) on complex numbers.
- Trigonometry and Precalculus students.
- Anyone interested in learning Trigonometry.
- Parents with homeschooled students who would like to master Trigonometry.
What you'll learn:
- Fully understand the Unite Circle.
- Learn how to find Terminal Points, Reference Numbers and Reference Angles.
- Learn what are Trigonometric Functions.
- Master graphing Trigonometric Functions.
- Be able to determine Domain and Range of Trig Functions.
- Be able to use the Law of Sins and Cosines.
- Proof Trig functions and identities.
- Master the different Trigonometric Formulas.
- Be able to go from Polar to Rectangular Coordinate and back.
- Be able to graph Polar Equations.
- Use De Moiver's Theorem.
- Find the nth Roots of Complex Numbers.
Watch Online Trigonometry Mastered
| # | Title | Duration |
|---|---|---|
| 1 | Structure of the Course | 06:29 |
| 2 | Number Sets | 10:08 |
| 3 | Graphing Tools | 06:10 |
| 4 | The Coordinate Plane | 06:21 |
| 5 | Introduction | 00:47 |
| 6 | The Unit Circle | 07:53 |
| 7 | Terminal Points | 30:31 |
| 8 | Reference Number | 21:31 |
| 9 | Trigonometric Functions | 12:29 |
| 10 | Evaluating Trigonometric Functions | 14:07 |
| 11 | Graph of Sine & Cosine | 24:15 |
| 12 | Sine & Cosine Graph Transformations | 16:32 |
| 13 | Tangent & Cotangent Graphs | 20:12 |
| 14 | Secant & Cosecant Graphs | 25:14 |
| 15 | Domain and Range of Sin, Cos and Tan | 21:40 |
| 16 | Examples | 12:48 |
| 17 | Domain and Range of Sec, Csc and Cot | 13:17 |
| 18 | Examples | 16:26 |
| 19 | Introduction | 00:44 |
| 20 | Angles | 15:36 |
| 21 | Standard Position | 07:54 |
| 22 | Trigonometric Ratios | 14:38 |
| 23 | Examples | 12:39 |
| 24 | Special Angles | 24:10 |
| 25 | Examples | 05:11 |
| 26 | Reference Angle | 14:14 |
| 27 | Evaluating Trig Functions and Points | 00:00 |
| 28 | Inverse Trigonometric Functions | 12:01 |
| 29 | The Law of Sines | 12:30 |
| 30 | The Law of Cosines | 09:37 |
| 31 | Area of a Triangle | 07:57 |
| 32 | Introduction | 01:27 |
| 33 | Fundamental Identities | 09:33 |
| 34 | Examples | 18:00 |
| 35 | Addition and Subtraction Formulas | 14:33 |
| 36 | Sums of Sines and Cosines | 06:50 |
| 37 | Double Angle Formulas | 10:07 |
| 38 | Half Angle Formulas | 08:06 |
| 39 | Formulas for Lowering Powers | 05:14 |
| 40 | Sum-to-Product Formulas | 05:32 |
| 41 | Product-to-Sum Formulas | 05:22 |
| 42 | Polar Coordinates | 18:30 |
| 43 | Polar and Rectangular Coordinates | 10:54 |
| 44 | Polar Equations | 06:41 |
| 45 | Graph of Polar Equations | 18:05 |
| 46 | Symmetry | 17:04 |
| 47 | Common Polar Curves | 12:13 |
| 48 | Graphing Complex Numbers | 05:41 |
| 49 | Modulus | 03:31 |
| 50 | Polar Form of Complex Numbers | 08:40 |
| 51 | Multiplication and Division | 06:47 |
| 52 | De Moivre’s Theorem | 04:42 |
| 53 | nth Roots of a Complex Number | 21:11 |
| 54 | Bonus Lecture | 03:57 |
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