Trigonometry Mastered

10h 26m 41s
English
Paid

Course description

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, 

  1. Fully understand the Unite Circle.
  2. Learn how to find Terminal Points, Reference Numbers and Reference Angles.
  3. Learn what are Trigonometric Functions.
  4. Master graphing Trigonometric Functions.
  5. Be able to determine Domain and Range of Trig Functions.
  6. Be able to use the Law of Sins and Cosines.
  7. Proof Trig functions and identities.
  8. Master the different Trigonometric Formulas.
  9. Be able to go from Polar to Rectangular Coordinate and back.
  10. Be able to graph Polar Equations.
  11. Use De Moiver's Theorem.
  12. 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.

Requirements:
  • 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.
Who this course is for:
  • 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.

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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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