High School & Introductory College Trigonometry:

These are fully completed, instructor-ready guided notes covering the full scope of a standard trigonometry course that provide clear explanations, mathematically accurate notation, and fully worked examples to support lecture preparation and instructional consistency.

These notes align with the topics taught in a standard precalculus trigonometry course, including unit circle, radian measure, trigonometric functions, identities, and equations, making them ideal for both high school and introductory college mathematics courses.

Created by a university mathematics professor with over 25 years of teaching experience.

Course Level

High School Trigonometry · Precalculus Trigonometry · Introductory College Trigonometry

What’s Included

• Fully completed guided notes (Teacher Edition)
• Step-by-step worked trigonometry examples
• Clear explanations of trigonometric concepts and methods
• Solved problems suitable for lecture reference
• Clean, printable PDF format for instructional use
  

Topics Covered

This resource includes:

• Angle types, degree and radian measure
• Coterminal angles and standard position
• Arc length and sector area
• Right triangle trigonometry and special triangles
• Unit circle and exact values
• Graphs of trigonometric functions
• Inverse trigonometric functions
• Trigonometric identities and verification
• Trigonometric equations
• Law of Sines and Law of Cosines (including the ambiguous case)
• Polar coordinates and conversions
• Parametric equations and plane curves
• Complex numbers in polar form and De Moivre’s Theorem
  

How Instructors Use This Resource

• Lecture preparation and example selection
• Maintaining solution consistency across sections
• In-class reference or document camera use
• Supporting pacing changes or substitute plans
  

Important Information

• This product contains completed instructor notes and is not intended for direct student distribution.
• Companion student versions of the guided notes are available on my website for free.
• Optional accompanying instructional videos are available on my YouTube channel.
• No video access is required to use this resource.
  

Usage & Licensing

• For use by the purchasing teacher with their own students (print or digital).
• Sharing, uploading, reselling, or redistributing this resource is not permitted.
• For multi-teacher, school-wide, or district licensing, please contact:
  contact@understandthemath.com