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A resource covering all aspects of Trigonometry. This collection was my senior project for my degree in Mathematics. I have collected resources that were already out there, a lot of Tim Brezsinski's Trig modules, some from the GeoGebra Content team, and a few others that were exceptional. Then with my faculty advisor, I set out to create some content that I felt was lacking. This resource can be used to learn Trig, teach Trig, or just freshen up or expand your knowledge in the area. This book is a work in progress, and will be added to as I find and/or create new quality stuff.
Table of Contents
Basic Geometric Concepts
Basic Objects
Measuring Angles
Radian Measure of Rotational Angles
Guess the Radian Measure
Measuring Angles
Drawing Angles Game
Determining Angle Measures Without Tools
Exploring Parts of an Angle
Identifying Angles Around Us
Basic Triangle Properties
Classifying Triangles in Euclidean Geometry
Sum of Interior Angles of a Triangle
Triangle Congruence & Similarity
Triangle Congruence
SAS Triangle Congruence Exploration Euclidean Geometry
Exploring triangle congruence properties and theorems and similarity of triangles.
SAS Postulate, ASA, AAS, and SSS Congruence Theorems
SSA Condition
AA, SAS and SSS Triangle Similarity Theorems
1. Triangle Congruence
2. SAS Triangle Congruence Exploration Euclidean Geometry
Extending definitions of Sin and Cosine to include any real number input.
Defining Trig Functions for +/- Rotational Angles.
Unit Circle
Periodic Properties
Symmetry Properties
1. Circular Trig Functions
2. The Unit Circle (Part 1)
3. The Unit Circle (Part 2)
4. Trigonometry Reference
5. Trig Circle Start: Multiples of 30°
6. Trig Circle: Coordinates of Special Angle Values
7. Unit circle for trigonometry.
8. Trig Reference Circle: Choose Your Own Radius
9. Trig Reference Circle (2): Choose Your Own Radius
10. Trigonometry with unit circle
11. Quiz: Quadrant Logic (Trig)
12. 4Q Quiz: Quadrant Logic (Trig)
13. Trig Quadrant Logic (2)
14. Evaluating Trig Functions Given a Point on the Terminal Ray