Dave4Math / Courses / Analytic Trigonometry

Analytic Trigonometry

Master analytic trigonometry with trigonometric identities, solving trigonometric equations, and learning many trigonometric formulas. With this course, you'll be a pro with trig identities and formulas.


January 11, 2021

Created by Dave

This course begins Summer 2021.
Current Status
Not Enrolled
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Do you find that once you solve one of the problems, you get stumped by the next? Can’t see the big picture? Introducing Dave’s online math course: Analytic Trigonometry. If you like puzzles, this is one of those transformative courses. This course is very constructive and easy to follow.

Who This Course is For

  • Students in college who want to learn more mathematics.
  • Anyone interested in analytic 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 trigonometric identities, solving trigonometric equations, and trigonometric formulas.


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 Analytic Trigonometry

  • Using Fundamental Identities
  • Verifying Trigonometric Identities
  • Equations of Quadratic Type
  • Functions Involving Multiple Angles
  • Using Inverse Functions
  • Using Sum and Difference Formulas
  • Multiple-Angle Formulas
  • Power-Reducing Formulas
  • Half-Angle Formulas
  • Product-to-Sum Formulas

Course Description

I recommend the prerequisite course Introduction to Trigonometry. 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.