Trigonometry: Your Complete Guide

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From sketching angles to evaluating and graphing trigonometric functions you will learn all and much more step by step

130 students enrolled

What Will I Learn?

- 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

Requirements

- Basic Arithmetic skills
- Basic Algebra skills

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

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Who is the target audience?

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

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Curriculum For This Course

82 Lectures

07:55:18
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Introduction
1 Lecture
02:18

Welcome to my course, in this video I will talk about who I am, why I made this course, who this course is for and who this course is not for. If you have any questions prior to taking this course please feel free to write the me.

Preview
02:18

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Basics Definitions of Angles and their Measures
7 Lectures
18:44

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

Preview
01:40

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

Preview
01:56

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

Preview
01:56

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

Preview
02:40

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

What are complementary supplementary angles?

04:08

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

Preview
01:47

In this video you will learn the different ways we represent radians.

What is the difference of an radian angle in terms of pie

04:37

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Angles and Their Measures - Sketching and Determining their measure
10 Lectures
45:24

In this video you will learn how to sketch an angle in radians and degrees and determine the quadrant that the angle lies in.

Examples for sketching and angle and determining the quadrant

06:32

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.

Examples for sketching an angle and determining the axis it lies on

03:46

Quiz - Sketching Angles

00:05

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

Examples for determining the supplement and complement of an angle

05:29

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

Examples for finding reference angles

08:14

In this video you will learn how to determine coterminal angles

Examples for finding coterminal angles

09:31

Quiz - Angle Relationships

00:04

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

Examples for converting an angle in radians to degrees

06:11

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

Examples for converting and angle in degrees to radians

05:27

Quiz - Converting Angles

00:04

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Basics definitions for Arc Length
1 Lecture
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.

What is a central angle?

01:34

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Arc Length
3 Lectures
04:55

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

00:05

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Basics definitions for Right Triangle Trigonometry
3 Lectures
19:47

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

What is the Pythagorean Theorem?

01:32

What are the six trigonometric functions?

08:57

How to use trigonometric functions to find the missing side of a triangle

09:18

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Right Triangle Trigonometry
5 Lectures
29:45

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

Examples for determining the missing side of a triangle using trig functions

09:49

Quiz - Find the missing length of a triangle using trigonometry

00:07

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

Examples for evaluating trig functions given a triangle

10:48

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

Examples for evaluating trig functions given an trigonometric equation

08:53

Quiz - Evaluate Trigonometric Functions using Right Triangles

00:07

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Basics definitions for Unit Circle Trigonometry
7 Lectures
32:06

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

What is the unit circle?

01:28

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

How do you find points on the unit circle?

08:21

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

What are the angles of the unit circle in degrees?

03:01

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

What are the angles of the unit circle in radians?

04:09

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

In this video you will learn how to memorize the unit circle so that you can quickly relate to it when needed.

How to memorize the unit circle?

03:04

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Unit Circle Trigonometry
5 Lectures
32:47

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

Examples for evaluating trig functions for an angle on the unit circle ex 1

08:46

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

Examples for evaluating trig functions for an angle on the unit circle ex 2

09:49

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

Examples for evaluating trig functions for an angle on the unit circle ex 3

09:06

Examples for evaluating trig functions for an angle on the unit circle ex 4

04:59

Quiz - Evaluate Trigonometric Functions using the Unit Circle

00:07

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Essential Definitions and Processes for graphing Sine/Cosine
6 Lectures
32:54

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

What are the critical points of the sine and cosine graph?

04:33

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

What is the amplitude of the sine/cosine graph?

04:22

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

What is the period of our sine/cosine graphs?

06:31

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

What is the phase shift for sine/cosine graphs?

07:54

Learn what the domain is for the sine and cosine graph

What is the domain of the sine/cosine graph

05:10

Learn what the range is for the sine and cosine graph

What is the range of the sine/cosine graph?

04:24

8 More Sections

About the Instructor