Math 1060 | Trigonometry

These lecture videos are organized in an order that corresponds with the book we have used recently for our Math1060 courses. (Precalculus by Larsen, Hostetler) We have numbered the videos for quick reference so it's reasonably obvious that each subsequent video presumes knowledge of the previous videos' material. Along with the video lecture for each topic, we have included the "pre-notes" and "post-notes" which are the notes of the lecture before we did the problems and after we worked everything out during the lecture, respectively. You may want to download the notes to use as a reference while watching the lecture video, or for later reference.

If you find an error in the lecture or a problem with the video, or if you would like to give feedback to us about these lectures, please email rebecca@math.utah.edu to do so.


NOTE: These videos were not recorded in stereo sound. If you are listening to these videos on headphones, you may want to consider setting your sound channels to come through both sides. This document will give you an idea of how to accomplish that.

First Chapter: Trigonometric Functions



• 1.1A Radians and Degrees
• 1.1B Angular and Linear Velocity
• 1.1A Pre Notes
• 1.1A Post Notes
• 1.1B Pre Notes
• 1.1B Post Notes


• 1.2A The Unit Circle
• 1.2B Trigonometric Functions
• 1.2A Pre Notes
• 1.2A Post Notes
• 1.2B Pre Notes
• 1.2B Post Notes


• 1.3A Right Triangles
• 1.3B Applications of Right Triangles
• 1.3 Pre Notes
• 1.3 Post Notes


• 1.4 Trigonometric Functions of Any Angle
• 1.4 Pre Notes
• 1.4 Post Notes


• 1.5A Graphs of Sine and Cosine Functions
• 1.5B Transformations of Sine and Cosine Graphs
• 1.5 Pre Notes
• 1.5 Post Notes


• 1.6 Graphs of Other Trigonometric Functions
• 1.6 Pre Notes
• 1.6 Post Notes


• 1.7A Inverse Trigonmetric Functions (part 1)
• 1.7B Inverse Trigonometric Functions (part 2)
• 1.7 Pre Notes
• 1.7 Post Notes


• 1.8 Right Triangle Applications
• 1.8 Pre Notes
• 1.8 Post Notes



Second Chapter: Analytical Trigonometry



• 2.1 Fundamental Identities
• 2.1 Pre Notes
• 2.1 Post Notes


• 2.2 Verifying Trigonometric Identities
• 2.2 Pre Notes
• 2.2 Post Notes


• 2.3A Solving Trigonometric Equations (part 1)
• 2.3B Solving Trigonometric Equations (part 2)
• 2.3 Pre Notes
• 2.3 Post Notes


• 2.4 Sum and Difference Formulas
• 2.4 Pre Notes
• 2.4 Post Notes


• 2.5 Multiple-Angle Formulas
• 2.5 Pre Notes
• 2.5 Post Notes



Third Chapter: Additional Trigonometric Topics



• 3.1A Law of Sines
• 3.1B Ambiguous Case
• 3.1 Pre Notes
• 3.1 Post Notes


• 3.2A Law of Cosines
• 3.2B Applications
• 3.2 Pre Notes
• 3.2 Post Notes


• 3.3A Vectors in the Plane (part 1)
• 3.3B Vectors in the Plane (part 2)
• 3.4A Vectors and Dot Product (part 1)
• 3.4B Vectors and Dot Product (part 2)
• 3.3 & 3.4 Pre Notes
• 3.3 & 3.4 Post Notes


• 3.5A Trigonometric Form of Complex Numbers (part 1)
• 3.5B Trigonometric Form of Complex Numbers (part 2)
• 3.5C Trigonometric Form of Complex Numbers (part 3)
• 3.5 Pre Notes
• 3.5 Post Notes


• 3.6 Polar Coordinates
• 3.6 Pre Notes
• 3.6 Post Notes


• 3.7 Polar Graphs
• 3.7 Pre Notes
• 3.7 Post Notes



Review/Practice: Additional Videos



• Practice Exam 2
• Exam 2 Pre Notes
• Exam 2 Post Notes


• Review of Inverse Functions
• Review of Inverse Functions Pre Notes
• Review of Inverse Functions Post Notes


• Reference Angles
• Reference Angles Pre Notes
• Reference Angles Post Notes