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Learning about trigonometry can be tough. Â Once you feel you mastered one type of problem you get stumped on the next. Â This course is structured to not leave you behind in the dust. Â I start off each section with basic definitions and processes you will need to know moving through the course. Â I then present two types of videosÂ to you for each skill. Â First is the overview video where I explain the concept as a whole like a typical lecture in a classroom. Â I then work through multiple examples showing you step by step how toÂ complete different types ofÂ problems. Â We both know watching someone do math is not the best way to learn. Â You have to practice! Each section you are provided with multipleÂ worksheets to practice your skills as well as the answer to check your answers. Â Revert back to videos if you get stuck and forget how to solve the problems.Â Once you feel you have a goodÂ grasp of your understanding it is time to take your quiz. There are multiple quizzes provided for each section. Take the quizzes as many times as you need to earnÂ 100%. Â There is no pressure you are hear to learn. By taking this course you will not only gain a better understanding of trigonometry but you will gain confidence to solve more problems on your own. That is why I created this course. I want students to no longer fear learning math or walking into their math class because they just don't understand. Â Everyone can learn math. Â Some it just takes a little longer, some just need a little boast and some need a course like I designed to guide them through the material. Heck once you complete this course, show your teacher! You deserve and A. Â I am here for you and by joining this course you are now one of my students just as important to me as the 140 students I teach in the classroomÂ during the school year. So please keep in touch, let me know how I am doing and if there is anything extra I can provide to assist you with your learning of trigonometry
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Lecture 1 
Introduction
Preview

03:51  
Section 1: Basics Definitions of Angles and their Measures  

Lecture 2  01:40  
In this video youÂ will learn about what makes up an angle as well as how to sketch. 

Lecture 3  01:56  
In this video you will learnÂ what theÂ initial and terminal sides areÂ of an angle. 

Lecture 4  01:56  
In this video you will learn what an angle is in standard positionÂ 

Lecture 5  02:40  
In this video you will learn the difference between positive and negative angles? 

Lecture 6  04:08  
In this video you will learn what the complementary and supplementary angles 

Lecture 7  01:47  
In this video you will learn what makes up a radian and how it is measured. 

Lecture 8  04:37  
In this video you will learn the different ways we represent radians. 

Section 2: Angles and Their Measures  Sketching and Determining their measure  
Lecture 9  06:32  
In this video you will learn how to sketch an angle in radians and degrees and determine the quadrant that the angle lies in. 

Lecture 10  03:46  
In this video you will learn how to sketch an angle and determine the quadrant or axis that the terminal side lies on or in. 

Lecture 11 
Quiz  Sketching Angles

Article  
Lecture 12  05:29  
In this video you will learn how to determine the supplement and complement of an angle. 

Lecture 13  08:14  
In this video you will learn how to determine the reference angle 

Lecture 14  09:31  
In this video you will learn how to determine coterminal angles 

Lecture 15 
Quiz  Angle Relationships

Article  
Lecture 16  06:11  
In this video you will determine how to convert an angle in radians to degrees 

Lecture 17  05:27  
In this video you will determine how to convert an angle in degrees to radians 

Lecture 18 
Quiz  Converting Angles

Article  
Section 3: Basics definitions for Arc Length  
Lecture 19  01:34  
In this video you will learn what a central angle is as well as the components of a central angle such as the radius, angle and arc length. 

Section 4: Arc Length  
Lecture 20 
Examples for finding the arc length when given the angle and radius

02:32  
Lecture 21 
Examples for finding the angle when given the arc length and radius

02:18  
Lecture 22 
Quiz  Arc Length

Article  
Section 5: Basics definitions for Right Triangle Trigonometry  
Lecture 23  01:32  
In this video you will learn what the Pythagorean Theorem is and how to use it. 

Lecture 24 
What are the six trigonometric functions?

08:57  
Lecture 25 
How to use trigonometric functions to find the missing side of a triangle

09:18  
Section 6: Right Triangle Trigonometry  
Lecture 26  09:49  
In this video you will learn how to determine the missing sides of a triangle using right triangle trigonometry 

Lecture 27 
Quiz  Find the missing length of a triangle using trigonometry

Article  
Lecture 28  10:48  
In this video you will learn how to evaluate the six trigonometric functions given a triangle and it's side lengths 

Lecture 29  08:53  
In this video you will learn how to evaluate the six trigonometric functions using a triangle when given a trigonometric equation. 

Lecture 30 
Quiz  Evaluate Trigonometric Functions using Right Triangles

Article  
Section 7: Basics definitions for Unit Circle Trigonometry  
Lecture 31  01:28  
In this video you will learn what the unit circle is, where it came from and how it is used. 

Lecture 32  08:21  
In this video you will learn how to find the points on the Unit circle given different angles 

Lecture 33  03:01  
In this video you will learn the different angles that are given to us on the Unit Circle 

Lecture 34  04:09  
In this video you will learn what the different angles are in radians on the unit circle 

Lecture 35 
What are the points on the unit circle in quarters?

04:38  
Lecture 36 
What are the points on the unit circle in 30 degrees?

07:25  
Lecture 37  03:04  
In this video you will learn how to memorize the unit circle so that you can quickly relate to it when needed. 

Section 8: Unit Circle Trigonometry  
Lecture 38  08:46  
In this video you will learn how to to evaluate for the six trigonometric functions using the angle onÂ unit circle. 

Lecture 39  09:49  
In this video you will learn how to to evaluate for the six trigonometric functions using the angle onÂ unit circle. 

Lecture 40  09:06  
In this video you will learn how to to evaluate for the six trigonometric functions using the angle onÂ unit circle. 

Lecture 41  04:59  
In this video you will learn how to to evaluate for the six trigonometric functions using the angle on unit circle. 

Lecture 42 
Quiz  Evaluate Trigonometric Functions using the Unit Circle

Article  
Section 9: Essential Definitions and Processes for graphing Sine/Cosine  
Lecture 43  04:33  
Learn what the critical points are for the sine and cosine graph 

Lecture 44  04:22  
Learn what the amplitude is an how it affects the graph of sine and cosine 

Lecture 45  06:31  
Learn what the period is and how it affects the graph of sine and cosine 

Lecture 46  07:54  
Learn what a phase shift is and how it affects the graph of sine and cosine 

Lecture 47  05:10  
Learn what the domain is for the sine and cosine graph 

Lecture 48  04:24  
Learn what the range is for the sine and cosine graph 

Section 10: Graphing The Sine and Cosine Function  
Lecture 49  06:46  
Learn how to graph the sine graph with a change in amplitude 

Lecture 50  06:34  
Learn how to graph the cosine graph with a change in amplitude 

Lecture 51  08:06  
Learn how to graph sign with a change in period 

Lecture 52  09:31  
Learn how to graph cosine with a change in period 

Lecture 53  08:44  
Learn how to graph sine with a vertical translation 

Lecture 54  10:36  
Learn how to graph cosine with a vertical translation 

Lecture 55  11:54  
Learn how to graph sine with a phase shift 

Lecture 56  11:09  
Learn how to graph cosine with a phase shift 

Lecture 57  Article  
Quiz yourself on graphing sine and cosine functions 

Section 11: Essential Definitions and Processes for graphing Tangent and Cotangent Functions  
Lecture 58  06:12  
Overview video for how to graph the tangent function 

Lecture 59  07:19  
Overview video for how to graph the cotangent function 

Section 12: Graphing Tangent and Cotangent  
Lecture 60  11:09  
Learn to graph tangent and cotangent with a phase shift 

Lecture 61  11:22  
Learn to graph tangent and cotangent with a period change 

Lecture 62  09:16  
Learn to graphÂ tangent and cotangentÂ with a vertical shift 

Lecture 63  Article  
Quiz yourself on Graphing Tangent and Cotangent Functions 

Section 13: Essential Definitions and Processes for graphing Secant and Cosecant Functions  
Lecture 64  04:49  
Overview video for how to graph the secant function 

Lecture 65  05:19  
Overview video for how to graph the cosecant function 

Section 14: Graphing Secant and Cosecant  
Lecture 66  09:28  
Learn how to graph cosecant and secant with a phase shift 

Lecture 67  11:52  
Learn how to graph cosecant and secant with a change in period 

Lecture 68  11:11  
Learn how to graph cosecant and secant with a vertical shift 

Lecture 69  Article  
Quiz yourself for graphing secant and cosecant functions 

Section 15: Basics for Inverse Trigonometric Functions  
Lecture 70  08:16  
In this video I will explain what the inverse trigonometric functions are and what they mean. 

Lecture 71  10:45  
In this video I will show you how to use inverse trigonometric functions to find the missing angle of a triangle. 

Lecture 72  13:15  
In this video we will discuss what the graphs of the inverse trigonometric functions look like and how to determine their domain and range 

Section 16: Inverse Functions of Trigonometric Functions and compostion  
Lecture 73  17:52  
In this video you will learn how to evaluate the inverse of a trigonometric function without a calculator 

Lecture 74 
Quiz  Evaluate the inverse of a trigonometric function

Article  
Lecture 75  13:54  
Learn how to evaluate the composition including inverse trig functions with the unit circle 

Lecture 76  09:33  
Learn how to evaluate the composition including inverse trig functions with a triangle 

Lecture 77  07:30  
Learn how to evaluate the composition including inverse trig functions with a triangle 

Lecture 78 
Quiz  Evaluate the composition involving inverse functions

Article  
Section 17: Conclusion  
Lecture 79  04:05  
Summary for graphing the sine and cosine function 

Lecture 80  04:19  
Summary for graphing the tangent and cotangent function 

Lecture 81  04:21  
Summary for graphing the cosecant and secant graph 

Lecture 82  Article  
This is the final test to check your understanding of this course. Good luck 
I am a high school that is on a mission to improve math education. I was that student that sat in the back of class frustrated with the boredom of class and the lack of understanding. I made the decision to become a math teacher to make a difference in others lives. I knew that with the struggles I had I could relate well to students that struggled with math. With a weak math background I set out to get a degree in mathematics. In was a difficult journey and I worked very hard not just to pass my math classes but to have an understanding of what I was doing. I learned a lot about myself, mathematics and what it takes to be successful in class through my time at college. I want to pass along my experience to you the student so that may have your own success with mathematics.