Trigonometry Mastered

10h 26m 41s
English
Paid

Are you struggling with Trigonometry?Not sure where to begin? You're in the right place! Welcome to our comprehensive Trigonometry course designed to take you from a beginner to an expert in Right Angles, the Unit Circle, Analytic Trigonometry, and Polar Coordinates. This course is specially crafted for students aiming to build a strong foundation in Trigonometry, crucial for tackling more advanced subjects like Calculus.

Course Overview

This course offers an extensive curriculum covering essential concepts and skills vital for mastering Trigonometry. We will guide you through:

  1. Fully comprehending the Unit Circle and its significance.
  2. Finding Terminal Points, Reference Numbers, and Reference Angles efficiently.
  3. Understanding and utilizing Trigonometric Functions in various scenarios.
  4. Mastering the art of graphing Trigonometric Functions.
  5. Determining the Domain and Range of Trigonometric Functions accurately.
  6. Applying the Law of Sines and Cosines to solve complex problems.
  7. Proving essential Trigonometric functions and identities.
  8. Mastering a variety of crucial Trigonometric Formulas.
  9. Converting seamlessly between Polar and Rectangular Coordinates.
  10. Graphing Polar Equations with precision.
  11. Utilizing De Moivre's Theorem proficiently.
  12. Finding the nth Roots of Complex Numbers effortlessly.

Course Delivery

Understanding through visual aids is key to grasping Trigonometry concepts. Therefore, this course utilizes electronic pen and paper demonstrations, allowing you to solve problems step-by-step. This method ensures clarity, enabling you to transition smoothly from basic to advanced topics.

Learning Enhancement

Enhance your learning experience with quizzes at the end of each section. These assessments will help you evaluate your understanding. Additionally, practice problems are provided to solidify the concepts learned in lectures. Reviewing lessons multiple times aids in mastering each topic thoroughly.

Course Requirements

  • Familiarity with High School Algebra.
  • Basic knowledge of functions, domains, ranges, and graphing techniques.
  • Proficiency in performing basic operations (+, -, ×, ÷) on complex numbers.

Target Audience

  • Trigonometry and Precalculus students.
  • Learners interested in grasping Trigonometry.
  • Parents supporting homeschooled students to master Trigonometry.

Learning Outcomes

  • Achieve a comprehensive understanding of the Unit Circle.
  • Identify Terminal Points, Reference Numbers, and Reference Angles effectively.
  • Clearly explain and utilize Trigonometric Functions.
  • Excel in graphing Trigonometric Functions with confidence.
  • Accurately determine Domains and Ranges of Trigonometric Functions.
  • Effectively apply the Law of Sines and Cosines.
  • Successfully prove various Trigonometric functions and identities.
  • Master a wide array of Trigonometric Formulas.
  • Convert smoothly between Polar and Rectangular Coordinates.
  • Confidently graph complex Polar Equations.
  • Employ De Moivre's Theorem with assurance.
  • Expertly uncover 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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