Trigonometry 1 with The Math Sorcerer
Learn Trigonometry 1, a beginner-friendly course covering the basics of angles, trigonometric functions, graphing, and problem-solving. Gain a solid foundation in computing trig function values and apply them to real-world scenarios. Suitable for anyone interested in mastering Trigonometry.
What you’ll learn
- The Basics of Angles
- The Difference Between Positive and Negative Angles
- Knowledge of the Key Terms Surrounding Angles, Including the Initial Side, Terminal Side, and Vertex of an Angle
- Special Types of Angles Including Acute, Obtuse, Right, and Straight Angles
- How to Find Supplementary Angles
- How to Find Complementary Angles
- The Definition of an Angle in Standard Position
- The Definition of a Quadrantal Angle
- What it Means for Two Angles to be Coterminal
- How to Find the Coterminal Angle of Least Positive Measure given an Angle
- Understand what a Radian Actually Is
- How to Convert from Radians to Degrees
- How to Convert from Degrees to Radians
- Knowledge of the Most Common Angles
- How to Find the Arc Length
- How to Find the Area of a Sector
- Knowledge of Linear and Angular Speed
- The Definition of the Trigonometric Functions
- How to Find the Six Trigonometric Function Values of an Angle Given a Point on the Terminal Side of the Angle
- How to Determine if a Trig Function is Positive or Negative in Any Quadrant
- How to Determine the Quadrant of an Angle Given the Signs of the Trig Functions
- The Ranges of all Six Trig Functions and How to Solve Problems Involving the Range
- The Pythagorean Identities and How to Prove Them
- How to Solve Problems using the Pythagorean Identities
- How to Find the Six Trig Function Values of an Angle Given the Equation of the Terminal Side of the Angle
- How to Write Certain Trig Functions in Terms of Other Trig Functions using the Pythagorean Identities
- The Wonderful Acronym SOH CAH TOA and How to Use it Effectively
- A Useful Mnemonic for Memorizing the Trig Function Values
- The Cofunction Identities and How to Use Them
- The Definition of a Reference Angle and How to Find Them
- The Unit Circle
- How to Compute Trig Function Values using the Unit Circle
- How to Compute Trig Function Values using the Reference Angle Method
- How to Solve a Right Triangle
- How to Solve Application Problems Involving the Angle of Elevation
- How to Find the Amplitude, Period, Phase Shift, Vertical Shift, and Range of the Sine and Cosine Functions
- How to Graph Any Sine Function
- How to Graph Any Cosine Function
- How to Graph the Tangent Function
- How to Graph the Cotangent Function
- How to Graph the Secant Function
- How to Graph the Cosecant Function
- How to Solve Application Problems Involving Harmonic Motion
Show moreShow less
This is a course on Trigonometry. This courses covers roughly the first half of what is typically taught in a college level course on Trigonometry, hence the name, Trigonometry 1. It includes tons of videos, as well as a few assignments with solutions. This course starts from the very beginning and it assumes you know some basic algebra, although very little algebra is actually used throughout the course. There are a few instances where some algebra does come up, but those instances are explained carefully in the videos. This course is intended for beginners.
One of the most difficult parts of trigonometry is computing the trigonometric function values, and so this course places extra emphasis on that topic. Several examples of computing trig function values are given and I explain different ways to compute them.
Here are some suggestions for how to use this course.
Watch the videos at your own pace. As you watch the videos, take notes and try to work through the examples I do by yourself.
Work through the assignments if you want to, although this really not a requirement.
Have fun, and remember trigonometry is super useful for learning further math.
I hope this course helps someone. Remember to try to have fun and work at your own pace.
Good luck:)
Who this course is for:
- Anyone who wants to learn Trigonometry.
