MA 106 – Precalculus: Trigonometry

Fall 2026 Course Page

Description

This course develops the trigonometric functions and their use in solving problems: angles and radian measure, right-triangle trigonometry, the unit circle, graphs of the trigonometric functions, inverse trigonometric functions, identities, trigonometric equations, and applications such as the Laws of Sines and Cosines.

Many topics begin with a short inquiry-based activity, in which students explore a pattern in small groups before the method is formally introduced.

Syllabus

Course syllabus, Fall 2026PDF

Lecture Notes

1Angles and Their Measure
Slides with notes
PDF
2aRight Triangle Trigonometry
Slides with notes
PDF
2bTrigonometric Functions of Acute Angles: 30°, 45°, 60°
Slides with notes
PDF
3Trigonometric Functions of Any Angle
Handwritten notes
PDF
4Unit Circle Approach; Properties and Graphs of Trigonometric Functions
Slides with solutions
PDF
5Graphs of the Sine and Cosine Functions
Handwritten notes
PDF
6The Inverse Sine, Cosine, and Tangent Functions
Slides with notes
PDF
7Trigonometric Equations
Handwritten notes
PDF
8Trigonometric Identities
Slides with solutions
PDF
9Solution of Triangle, Law of Sines and their Application
Slides with solutions
PDF
10Law of Cosines, Area of a Triangle and their Application
Slides with solutions
PDF
11Polar Coordinates and their Graphs
Slides with solutions
PDF

More lectures will be added as the semester progresses.