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Trigonometry Mastered

10h 26m 41s
English
Paid
Updated September 2026

Trigonometry Mastered is a 54-lesson 10 hours 26 minutes self-paced course by Udemy. Trigonometry has a reputation for being where algebra students suddenly get lost — this course rebuilds it from the unit circle up, using worked, step-by-step pen-and-paper demonstrations rather than just slides.

Course facts

Lessons
54
Duration
10 hours 26 minutes
Level
All levels
Language
English
Updated
2026-09-11
Instructor
Udemy
Price
Premium

Trigonometry has a reputation for being where algebra students suddenly get lost — this course rebuilds it from the unit circle up, using worked, step-by-step pen-and-paper demonstrations rather than just slides.

What's covered

  • The unit circle, terminal points, reference numbers and reference angles
  • Trigonometric functions, their graphs, domains and ranges
  • The Law of Sines and Cosines, and proving trig identities and formulas
  • Converting between polar and rectangular coordinates
  • Graphing polar equations, De Moivre's Theorem, and finding nth roots of complex numbers

Each section ends with a quiz, and extra practice problems reinforce lecture material. It assumes high school algebra and basic comfort with functions, graphing and complex-number arithmetic — solid preparation for calculus, and a resource homeschooling parents can lean on too.

Who teaches Trigonometry Mastered? Udemy

Udemy thumbnail

Udemy is the largest open marketplace for online courses on the internet. Founded in 2010 by Eren Bali, Oktay Caglar, and Gagan Biyani and headquartered in San Francisco, the company went public on the Nasdaq in 2021 under the ticker UDMY. The platform hosts well over two hundred thousand courses across software development, IT and cloud, data science, design, business, marketing, and creative skills, taught by tens of thousands of independent instructors. Roughly seventy million learners use it worldwide, and the corporate arm — Udemy Business — supplies a curated subset of that catalog to enterprise customers.

Because Udemy is a marketplace rather than a single editorial publisher, the catalog is uneven by design. The strongest material lives in the long-form, project-based courses authored by working engineers — full-stack JavaScript, React, Node.js, Python data science, AWS, Docker and Kubernetes, mobile development with Flutter and React Native, and cloud certification preparation. The CourseFlix listing under this source is the slice of that catalog that has been mirrored here for offline-friendly viewing, organized by topic and updated as new releases land. Pricing on Udemy itself swings dramatically with the site's near-permanent sales, which is why the platform is best treated as a deep reference catalog: pick instructors with strong reviews and a track record of updating their material rather than buying on the headline price alone.

What lessons are included in Trigonometry Mastered?

This is a demo lesson (10:00 remaining)

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#1: Structure of the Course
All Course Lessons (54)
#Lesson TitleDurationAccess
1
Structure of the Course Demo
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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Frequently asked questions

What are the prerequisites for enrolling in this Trigonometry course?
This course is designed for beginners, so there are no formal prerequisites. However, a basic understanding of algebra and geometry will be beneficial as these skills are foundational for learning concepts in Trigonometry, such as graphing functions and solving equations.
What projects or problems will I be able to solve after completing the course?
Upon completing the course, students will be equipped to solve complex problems involving the Law of Sines and Cosines, convert between Polar and Rectangular Coordinates, and find the nth roots of complex numbers. Additionally, students will gain proficiency in graphing polar equations and utilizing De Moivre's Theorem.
Who is the target audience for this Trigonometry course?
The course is ideal for students who wish to build a strong foundation in Trigonometry. It is particularly suited for those planning to pursue advanced mathematics courses such as Calculus, where a solid understanding of Trigonometric concepts is crucial.
How does the depth and scope of this course compare to other Trigonometry courses?
This course offers a comprehensive curriculum covering essential Trigonometric concepts, including graphing functions, proving identities, and converting coordinates. It provides more depth by exploring topics like De Moivre's Theorem and nth roots of complex numbers, which may not be covered in introductory courses.
What specific tools or platforms are utilized in the course?
The course uses electronic pen technology to facilitate understanding through visual aids. This approach helps in grasping complex concepts such as graphing Trigonometric Functions and Polar Equations, making the learning experience more interactive and engaging.
What topics are not covered in this Trigonometry course?
While the course covers a wide range of Trigonometric topics, it does not delve into Calculus or advanced mathematical theories beyond Trigonometry. Topics such as integration or differentiation in relation to Trigonometric functions are not included.
What is the expected time commitment for completing the course?
The course consists of 54 lessons. Although the exact runtime is not specified, students should anticipate dedicating several hours per week to fully engage with the material, complete exercises, and practice problem-solving to master the content.