Become a Trigonometry Ace

Become a Trigonometry Ace, available at $59.99, has an average rating of 4.65, with 133 lectures, based on 20 reviews, and has 183 subscribers.

You will learn about The xy-plane Classification of Angles Degrees and Radians Coterminal Angles Reference Angles Negative Angles Angles Larger than 360 Degrees Area of a Sector of a Circle Length of an Arc on a Circle Linear and Angular Velocity The Unit Circle The Six Trig Functions Pythagorean Theorem Right Triangles and SOH CAH TOA Angles of Depression and Elevation Graphs of Trigonometric Functions Amplitude, Period, Horizontal (Phase) Shift, and Vertical Shifts One-to-one and Inverse Functions Inverse Trig Functions Solving Right Triangles Finding The Set of All Angles Solving Trig Equations World Problems Using Trig Functions Law of Sines Law of Cosines Heron's Formula Pythagorean Identities Sum and Difference Identities Double Angle Identities Half Angle (Power Reducing) Identities Cofunction and Even-Odd Identities Sum to Product and Product to Sum Identities Proving Trig Identities Introduction to Vectors Magnitude and Direction of a Vector Applications Involving Vectors Introduction to Polar Coordinates Converting Between Rectangular (Cartesian) and Polar Coordinates Polar Graphs Complex Numbers and it's Polar Form De Moivre's Formula (Powers and Roots of a Complex Number) This course is ideal for individuals who are Students Taking Trigonometry or Students Planning to take Trigonometry or Someone Who Needs a Trigonometry Review or A Math Enthusiast or Students taking Physics or Engineering courses and need a Trigonometry refresher It is particularly useful for Students Taking Trigonometry or Students Planning to take Trigonometry or Someone Who Needs a Trigonometry Review or A Math Enthusiast or Students taking Physics or Engineering courses and need a Trigonometry refresher.

Enroll now: Become a Trigonometry Ace

Summary

Title: Become a Trigonometry Ace

Price: $59.99

Average Rating: 4.65

Number of Lectures: 133

Number of Published Lectures: 133

Number of Curriculum Items: 133

Number of Published Curriculum Objects: 133

Original Price: $39.99

Quality Status: approved

Status: Live

What You Will Learn

The xy-plane
Classification of Angles
Degrees and Radians
Coterminal Angles
Reference Angles
Negative Angles
Angles Larger than 360 Degrees
Area of a Sector of a Circle
Length of an Arc on a Circle
Linear and Angular Velocity
The Unit Circle
The Six Trig Functions
Pythagorean Theorem
Right Triangles and SOH CAH TOA
Angles of Depression and Elevation
Graphs of Trigonometric Functions
Amplitude, Period, Horizontal (Phase) Shift, and Vertical Shifts
One-to-one and Inverse Functions
Inverse Trig Functions
Solving Right Triangles
Finding The Set of All Angles
Solving Trig Equations
World Problems Using Trig Functions
Law of Sines
Law of Cosines
Heron's Formula
Pythagorean Identities
Sum and Difference Identities
Double Angle Identities
Half Angle (Power Reducing) Identities
Cofunction and Even-Odd Identities
Sum to Product and Product to Sum Identities
Proving Trig Identities
Introduction to Vectors
Magnitude and Direction of a Vector
Applications Involving Vectors
Introduction to Polar Coordinates
Converting Between Rectangular (Cartesian) and Polar Coordinates
Polar Graphs
Complex Numbers and it's Polar Form
De Moivre's Formula (Powers and Roots of a Complex Number)

Who Should Attend

Students Taking Trigonometry
Students Planning to take Trigonometry
Someone Who Needs a Trigonometry Review
A Math Enthusiast
Students taking Physics or Engineering courses and need a Trigonometry refresher

Target Audiences

Students Taking Trigonometry
Students Planning to take Trigonometry
Someone Who Needs a Trigonometry Review
A Math Enthusiast
Students taking Physics or Engineering courses and need a Trigonometry refresher

Become a Trigonometry Ace is setup for YOU to succeed and learn easily!

Have you ever wanted to learn Trigonometry from a college professor but didn’t want to spend all that money on a college course, be forced to take tests at certain times, and be penalized if you don’t do an assignment on time? If that is you, then you have come to the right place. Having experience as a college math professor, and having a Ph.D in Mathematics, I not only know what you need to learn, but what tools you need to succeed!

I have designed this course to be as useful and efficient as possible for you without skipping any of the content that you will need. In my decade of experience teaching math, I have honed in on discovering the necessary tools you will need from Trigonometry and present them in a way that is a slow and steady build on what is covered throughout the course.

For each lesson in this course, you receive a downloadable lecture handout, a lecture video, and a video of me going over the quiz solutions. At the end of the course, there is a final exam so you can see the progress you made. Become a Precalculus Trigonometry Ace is organized in a logical way so you can see the overall build up of Trigonometry and has the following sections:

Angles (degrees and radians), Quadrants, Coterminal Angles, and Reference Angles
Applications using Angles including Arc Lengths, Areas of Sectors of a Circle, and Linear and Angular Velocity
The Unit Circle (with tips on how to memorize, if needed)
The six trig functions: Sine, Cosine, Tangent, Cotangent, Secant, and Cosecant
Using trig functions to solve right triangles (SOH CAH TOA)
Graphing any of the six trig functions with graph transformations of amplitude, midline, horizontal shift, and period
Inverse trig functions and how to solve right triangles with them
Solving trig equations
Modeling periodic phenomena using trig graphs and equations
The Laws of Sines and Cosines to solve ANY triangle
Applying the Laws of Sines and Cosines to word problems
Heron’s Law to find the area of a triangle
Trig identities: Understanding the common identities
Verifying trig identities

To be added to the course:

Vectors and their applications
Polar Coordinates and Common Polar Graphs
Complex Numbers
De Moivre’s Theorem (Powers and Roots of a Complex Number)

Content of each section:

Videos: In each section, you will get a full length lecture video. In each lecture, I first go over the “what” you will see in the section, then “how” and “why” of doing it. Then, you will see plenty of examples done. Every example is done going through a full explanation of all the steps so you can see the process done and understand it clearly. It is highly advised you follow along on your own and not just watch. Additionally, for each each section, there is a quiz solutions video where you can compare your work on the quizzes to mine.
Lecture Notes: In each section, the lecture notes are (mostly) filled out for you. They are the same notes I go through and discuss in each section. I recommend downloading the lecture notes for each section and going through, following along (or maybe pause the video and try on your own) the empty spaces left for doing the problems. At the end of each lecture, there are practice problems and a quiz with an answer key. As stated above, there is also a video for each quiz’s solutions as well.

Quizzes:As a final mention, each section has a quiz; however, it is not a quiz built into the Udemy course. It is in the same .pdf as the lecture notes. The video solutions are uploaded directly after each lecture for ease of progression.

Lastly, there will be a practice final and final exam, along with an answer key for each. The final exam will also have video solutions for those that wish to see.

…Not to forget:

With this course, you get it for a lifetime. You also can ask questions in the Q&A section if you have them and I will respond as quickly as possible. Additionally, upon completing the course, you will get a Certificate of Completion to download.

Course Curriculum

Chapter 1: Introduction

Lecture 1: Introduction

Lecture 2: Previewing Each Section and Online Calculators

Chapter 2: Angles

Lecture 1: Welcome to Section 1: Angles

Lecture 2: xy-Plane and Triangles Review Lecture

Lecture 3: xy-Plane and Triangle Quiz Solutions

Lecture 4: Angles and the xy-Plane Lecture

Lecture 5: Angles and the xy-Plane Quiz Solutions

Lecture 6: Radians and the xy-Plane Lecture

Lecture 7: Radians and the xy-Plane Quiz Solutions

Lecture 8: Coterminal Angles Lecture

Lecture 9: Coterminal Angles Quiz Solutions

Lecture 10: Reference Angles Lecture

Lecture 11: Reference Angles Quiz Solutions

Lecture 12: Applications of Radians

Lecture 13: Radians Applications Quiz Solutions

Lecture 14: Angles Summary

Chapter 3: The Unit Circle and Six Trig Functions

Lecture 1: Welcome to Section 2: The Unit Circle and Six Trig Functions

Lecture 2: Common Angles on the Unit Circle Lecture

Lecture 3: Common Angles on the Unit Circle Quiz Solutions

Lecture 4: Sine and Cosine (and Pythagorean Identity) Lecture

Lecture 5: Sine and Cosine (and Pythagorean Identity) Quiz Solutions

Lecture 6: Sine and Cosine on Angles Outside 0 to 360 Degrees Lecture

Lecture 7: Sine and Cosine on Angles Outside 0 to 360 Degrees Quiz Solutions

Lecture 8: Other Four Trig Functions and Evaluating Lecture

Lecture 9: Other Four Trig Functions and Evaluating Quiz Solutions

Lecture 10: Evaluating Trig Functions at Real Numbers Lecture

Lecture 11: Evaluating Trig Functions at Real Numbers Quiz Solutions

Lecture 12: The Unit Circle and Six Trig Functions Summary

Chapter 4: Right Triangle Trigonometry

Lecture 1: Welcome to Section 3: Right Triangle Trigonometry

Lecture 2: Right Triangle and the Pythagorean Theorem Lecture

Lecture 3: Right Triangle and the Pythagorean Theorem Quiz Solutions

Lecture 4: SOH CAH TOA Lecture

Lecture 5: SOH CAH TOA Quiz Solutions

Lecture 6: The Other Three Lecture

Lecture 7: The Other Three Quiz Solutions

Lecture 8: Word Problems Using Right Triangles Lecture

Lecture 9: Word Problems Using Right Triangles Quiz Solutions

Lecture 10: Right Triangle Trigonometry Summary

Chapter 5: Trig Graphs

Lecture 1: Welcome to Section 4: Trig Graphs

Lecture 2: Graphs of Sine and Cosine with Amplitude and Midline Lecture

Lecture 3: Graphs of Sine and Cosine with Amplitude and Midline Quiz Solutions

Lecture 4: Period and Horizontal (Phase) Shift Lecture

Lecture 5: Period and Horizontal (Phase) Shift Quiz Solutions

Lecture 6: Putting It All Together Lecture

Lecture 7: Putting It All Together Quiz Solutions

Lecture 8: Determining Sine or Cosine Equation From Graph Lecture

Lecture 9: Determining Sine or Cosine Equation From Graph Quiz Solutions

Lecture 10: Graphs of Secant and Cosecant Lecture

Lecture 11: Graphs of Secant and Cosecant Quiz Solutions

Lecture 12: Graphs of Tangent and Cotangent Lecture

Lecture 13: Graphs of Tangent and Cotangent Quiz Solutions

Lecture 14: Trig Graphs Summary

Chapter 6: Inverse Trig Functions

Lecture 1: Welcome to Section 5: Inverse Trig Functions

Lecture 2: One-to-One and Inverse Trig Functions Lecture

Lecture 3: One-to-One and Inverse Trig Functions Quiz Solutions

Lecture 4: Evaluating Inverse Trig Functions Lecture

Lecture 5: Evaluating Inverse Trig Functions Quiz Solutions

Lecture 6: Solving Right Triangles with Inverse Trig Lecture

Lecture 7: Solving Right Triangles with Inverse Trig Quiz Solutions

Lecture 8: Inverse Trig Functions Summary

Chapter 7: Solving Trig Equations

Lecture 1: Welcome to Section 6: Solving Trig Equations

Lecture 2: Finding All Angles Coterminal Lecture

Lecture 3: Finding All Angles Coterminal Quiz Solutions

Lecture 4: Solving Basic Sin, Cos, and Tan Equations Lecture Part 1

Lecture 5: Solving Basic Sin, Cos, and Tan Equations Lecture Part 2

Lecture 6: Solving Basic Sin, Cos, and Tan Equations Quiz Solutions

Lecture 7: Solving Trig Equations with Different Period Lecture

Lecture 8: Solving Trig Equations with Different Period Quiz Solutions

Lecture 9: Converting Sec, Csc, Cot Equations Lecture

Lecture 10: Converting Sec, Csc, Cot Equations Quiz Solutions

Lecture 11: Word Problems Involving Trig Equations Lecture Part 1

Lecture 12: Word Problems Involving Trig Equations Lecture Part 2

Lecture 13: Word Problems Involving Trig Equations Quiz Solutions

Lecture 14: Solving Trig Equations Summary

Chapter 8: Non-Right Triangle Trigonometry

Lecture 1: Welcome to Section 7: Non-Right Triangle Trigonometry

Lecture 2: Law of Sines Lecture

Lecture 3: Law of Sines Quiz Solutions

Lecture 4: Law of Cosines Lecture

Lecture 5: Law of Cosines Quiz Solutions

Lecture 6: Applications Using Law of Sines and Cosines Lecture

Lecture 7: Applications Using Law of Sines and Cosines Quiz Solutions

Lecture 8: Heron's Formula Lecture

Lecture 9: Heron's Formula Quiz Solutions

Lecture 10: Non-Right Triangle Trigonometry Summary

Chapter 9: Trig Identities

Lecture 1: Welcome to Section 8: Trig Identities

Lecture 2: Pythagorean Identities Lecture

Lecture 3: Pythagorean Identities Quiz Solutions

Lecture 4: Sum and Difference Formulas Lectures

Lecture 5: Sum and Difference Formulas Quiz Solutions

Lecture 6: Double Angle Formulas Lecture

Lecture 7: Double Angle Formulas Quiz Solutions

Instructors

Ethan Williams
Professor of Mathematics

Rating Distribution

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2 stars: 1 votes
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4 stars: 3 votes
5 stars: 16 votes

Frequently Asked Questions

How long do I have access to the course materials?

You can view and review the lecture materials indefinitely, like an on-demand channel.

Can I take my courses with me wherever I go?

Definitely! If you have an internet connection, courses on Udemy are available on any device at any time. If you don’t have an internet connection, some instructors also let their students download course lectures. That’s up to the instructor though, so make sure you get on their good side!

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