Become a Trigonometry Ace

A complete trigonometry course with hundreds of practice and quiz problems and video solutions for each quiz

Ratings 4.59 / 5.00
Become a Trigonometry Ace

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)

Description

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.

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

TAKE THIS COURSE

Tags

  • Trigonometry

Subscribers

172

Lectures

133

TAKE THIS COURSE



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