Trigonometry: Your Complete Guide

From sketching angles to evaluating and graphing trigonometric functions you will learn all and much more step by step
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  • Lectures 82
  • Length 8 hours
  • Skill Level All Levels
  • Languages English
  • Includes Lifetime access
    30 day money back guarantee!
    Available on iOS and Android
    Certificate of Completion
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About This Course

Published 3/2016 English

Course Description

Learning about trigonometry can be tough.  Once you feel you mastered one type of problem you get stumped on the next.  This course is structured to not leave you behind in the dust.  I start off each section with basic definitions and processes you will need to know moving through the course.  I then present two types of videos to you for each skill.  First is the overview video where I explain the concept as a whole like a typical lecture in a classroom.  I then work through multiple examples showing you step by step how to complete different types of problems.  We both know watching someone do math is not the best way to learn.  You have to practice! Each section you are provided with multiple worksheets to practice your skills as well as the answer to check your answers.  Revert back to videos if you get stuck and forget how to solve the problems.  Once you feel you have a good 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 earn 100%.  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.  Everyone can learn math.  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.  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 classroom 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

.

What are the requirements?

  • Basic Arithmetic skills
  • Basic Algebra skills

What am I going to get from this course?

  • Over 200 worked out examples explained step by step.
  • Over 30 Worksheets to practice what you are learning
  • Over 10 Quizzes to check your understanding
  • Sketch and convert angles between radians and degrees
  • Determine supplementary, complementary, co-terminal and reference angles
  • Determine the missing values using arc length
  • Evaluate the six trigonometric functions using the unit circle and triangle
  • Graph all six trigonometric functions with transformations
  • Evaluate the inverse trigonometric functions and composition of functions

What is the target audience?

  • Students taking Geometry
  • Students taking Algebra 2
  • Students taking Trigonometry
  • Students taking Pre-Calculus
  • Students taking Calculus

What you get with this course?

Not for you? No problem.
30 day money back guarantee.

Forever yours.
Lifetime access.

Learn on the go.
Desktop, iOS and Android.

Get rewarded.
Certificate of completion.

Curriculum

Introduction
Preview
03:51
Section 1: Basics Definitions of Angles and their Measures
01:40

In this video you will learn about what makes up an angle as well as how to sketch.

01:56

In this video you will learn what the initial and terminal sides are of an angle.

01:56

In this video you will learn what an angle is in standard position 

02:40

In this video you will learn the difference between positive and negative angles?

04:08

In this video you will learn what the complementary and supplementary angles

01:47

In this video you will learn what makes up a radian and how it is measured.

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
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.

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.

Quiz - Sketching Angles
Article
05:29

In this video you will learn how to determine the supplement and complement of an angle.

08:14

In this video you will learn how to determine the reference angle

09:31

In this video you will learn how to determine coterminal angles

Quiz - Angle Relationships
Article
06:11

In this video you will determine how to convert an angle in radians to degrees

05:27

In this video you will determine how to convert an angle in degrees to radians

Quiz - Converting Angles
Article
Section 3: Basics definitions for Arc Length
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
Examples for finding the arc length when given the angle and radius
02:32
Examples for finding the angle when given the arc length and radius
02:18
Quiz - Arc Length
Article
Section 5: Basics definitions for Right Triangle Trigonometry
01:32

In this video you will learn what the Pythagorean Theorem is and how to use it.

What are the six trigonometric functions?
08:57
How to use trigonometric functions to find the missing side of a triangle
09:18
Section 6: Right Triangle Trigonometry
09:49

In this video you will learn how to determine the missing sides of a triangle using right triangle trigonometry

Quiz - Find the missing length of a triangle using trigonometry
Article
10:48

In this video you will learn how to evaluate the six trigonometric functions given a triangle and it's side lengths

08:53

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

Quiz - Evaluate Trigonometric Functions using Right Triangles
Article
Section 7: Basics definitions for Unit Circle Trigonometry
01:28

In this video you will learn what the unit circle is, where it came from and how it is used.

08:21

In this video you will learn how to find the points on the Unit circle given different angles

03:01

In this video you will learn the different angles that are given to us on the Unit Circle

04:09

In this video you will learn what the different angles are in radians on the unit circle

What are the points on the unit circle in quarters?
04:38
What are the points on the unit circle in 30 degrees?
07:25
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
08:46

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

09:49

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

09:06

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

04:59

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

Quiz - Evaluate Trigonometric Functions using the Unit Circle
Article
Section 9: Essential Definitions and Processes for graphing Sine/Cosine
04:33

Learn what the critical points are for the sine and cosine graph

04:22

Learn what the amplitude is an how it affects the graph of sine and cosine

06:31

Learn what the period is and how it affects the graph of sine and cosine

07:54

Learn what a phase shift is and how it affects the graph of sine and cosine

05:10

Learn what the domain is for the sine and cosine graph

04:24

Learn what the range is for the sine and cosine graph

Section 10: Graphing The Sine and Cosine Function
06:46

Learn how to graph the sine graph with a change in amplitude

06:34

Learn how to graph the cosine graph with a change in amplitude

08:06

Learn how to graph sign with a change in period

09:31

Learn how to graph cosine with a change in period

08:44

Learn how to graph sine with a vertical translation

10:36

Learn how to graph cosine with a vertical translation

11:54

Learn how to graph sine with a phase shift

11:09

Learn how to graph cosine with a phase shift

Article

Quiz yourself on graphing sine and cosine functions

Section 11: Essential Definitions and Processes for graphing Tangent and Cotangent Functions
06:12

Overview video for how to graph the tangent function

07:19

Overview video for how to graph the cotangent function

Section 12: Graphing Tangent and Cotangent
11:09

Learn to graph tangent and cotangent with a phase shift

11:22

Learn to graph tangent and cotangent with a period change

09:16

Learn to graph tangent and cotangent  with a vertical shift

Article

Quiz yourself on Graphing Tangent and Cotangent Functions

Section 13: Essential Definitions and Processes for graphing Secant and Cosecant Functions
04:49

Overview video for how to graph the secant function

05:19

Overview video for how to graph the cosecant function

Section 14: Graphing Secant and Cosecant
09:28

Learn how to graph cosecant and secant with a phase shift

11:52

Learn how to graph cosecant and secant with a change in period

11:11

Learn how to graph cosecant and secant with a vertical shift

Article

Quiz yourself for graphing secant and cosecant functions

Section 15: Basics for Inverse Trigonometric Functions
08:16

In this video I will explain what the inverse trigonometric functions are and what they mean.

10:45

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

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
17:52

In this video you will learn how to evaluate the inverse of a trigonometric function without a calculator

Quiz - Evaluate the inverse of a trigonometric function
Article
13:54

Learn how to evaluate the composition including inverse trig functions with the unit circle

09:33

Learn how to evaluate the composition including inverse trig functions with a triangle

07:30

Learn how to evaluate the composition including inverse trig functions with a triangle

Quiz - Evaluate the composition involving inverse functions
Article
Section 17: Conclusion
04:05

Summary for graphing the sine and cosine function

04:19

Summary for graphing the tangent and cotangent function

04:21

Summary for graphing the cosecant and secant graph

Article

This is the final test to check your understanding of this course. Good luck

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Instructor Biography

Brian McLogan, Current Active High School Math Teacher

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.

Instructor Biography

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