Dave4Math / Courses / Additional Topics in Trigonometry

Additional Topics in Trigonometry

Master additional topics in trigonometry by learning the law of sines and cosines. Including vectors, dot products, and complex numbers. With this course, you'll be a pro at solving triangles and working in the complex plane.


January 11, 2021

Created by Dave

This course begins Summer 2021.
Current Status
Not Enrolled
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Is the rest of the class leaving you behind? Just can’t seem to get what you need from the class? Introducing Dave’s online math course: Additional Topics in Trigonometry. Dave keeps you interested, engaged, and with Dave, you always have the big picture in mind.

Who This Course is For

  • Students in college who want to learn more mathematics.
  • Anyone interested in additional topics in 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 the law of sines, the law of cosines, vectors in the plane, dot products, and complex numbers.


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 Additional Topics in Trigonometry

  • Law of Sines
  • Solving Triangles
  • The Ambiguous Case (SSA)
  • Area of an Oblique Triangle
  • Law of Cosines
  • Heron’s Area
  • Formula Component Form of a Vector
  • Vector Operations
  • Unit Vectors
  • Direction Angles
  • Applications of Vectors
  • The Dot Product of Two Vectors
  • The Angle Between Two Vectors
  • Finding Vector Components Work
  • The Complex Plane
  • Trigonometric Form of a Complex Number
  • Multiplication and Division of Complex Numbers
  • Powers of Complex Numbers Roots of Complex Numbers

Course Description

I recommend the prerequisite course Analytic 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.