Dave4Math / Courses / Introduction to Trigonometry

Introduction to Trigonometry

With this introduction to trigonometry, you'll learn trigonometric functions, their graphs, and master inverse trigonometric functions. With this course, you'll have complete knowledge of the six trigonometric functions and experience with inverse trig functions.


January 11, 2021

Created by Dave

This course begins Summer 2021.
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Did you know that many people know a little trig, enough to solve some basic problems? But did you also know that most of them don’t even understand the fundamentals? Introducing Dave’s online math course: Introduction to Trigonometry. Understanding a concept is about gaining knowledge, and as they say, knowledge is power. Become successful by learning why and not just how.

Who This Course is For

  • Students in college who want to learn more mathematics.
  • Anyone interested in an introduction to trigonometry.
  • Students who are enrolled in precalculus and want to improve their grade.
  • Anyone interested in getting prepared for calculus 1.
  • Anyone wanting to learn about angles, right-triangle trigonometry, trigonometric functions, graphs of sine and cosine, inverse trigonometric functions.


There is no required textbook, though you will need an up-to-date web browser, paper, and pen. A hand-held scientific calculator of your choice is required.

What You’ll Learn in Introduction to Trigonometry

  • Angles
  • Degree Measure
  • Radian Measure
  • Conversion of Angle Measure
  • Linear and Angular Speed
  • The Six Trigonometric Functions
  • Trigonometric Identities
  • Evaluating Trig Functions with a Calculator
  • Applications Involving Right Triangles
  • Reference Angles
  • Trigonometric Functions of Real Numbers
  • Basic Sine and Cosine Curves
  • Amplitude and Period with Sine and Cosine
  • Translations of Sine and Cosine Curves
  • Graph of the Tangent Function
  • Graph of the Cotangent Function
  • Graphs of the Reciprocal Functions
  • Damped Trigonometric Graphs
  • Inverse Sine Function
  • Other Inverse Trigonometric Functions
  • Compositions of Functions
  • Applications Involving Right Triangles
  • Trigonometry and Bearings
  • Harmonic Motion

Course Description

I recommend the prerequisite course Polynomial and Rational Functions. If you’re not sure if this course is for you, checkout the course contents below or find out more by checking out my free precalculus articles.

Course Content

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David A. Smith

Mathematics Educator

I sincerely believe that the potential in every student can be unlocked. As an accomplished and dedicated instructor, I have firm confidence that I can provide significant value to your studies.

I relish teaching and use it as a channel for my creativity as I seek to deliver real-life and relevant connections between the mathematics that I teach and my students. Promoting an active learning environment and excitement about mathematics is my dream come true.

David Smith (Dave) has a B.S. and M.S. in Mathematics and has enjoyed teaching precalculus, calculus, linear algebra, and number theory at both the junior college and university levels for over 20 years. David is the founder and CEO of Dave4Math.