Trigonometry 1 with The Math Sorcerer

Trigonometry Course with Assignments and Solutions

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
Requirements
Some basic algebra skills can be helpful.
Description
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.