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## Fundamental Trig Identities

Summary

The content provides an in-depth exploration of the six trigonometric functions, emphasizing the importance of understanding their relationships and applications, particularly in the context of the GRE exam.

- Introduced cotangent, secant, and cosecant as extensions of the basic trigonometric functions sine, cosine, and tangent, highlighting their geometric origins and relationships.
- Explained the reciprocal nature of the six trigonometric functions and the significance of memorizing these relationships for problem-solving.
- Discussed the fundamental Pythagorean identity and its extensions to include all six trig functions, underscoring the value of understanding over memorization for application in calculus and GRE problems.
- Provided a practical application through a practice problem, demonstrating how to apply trigonometric identities and the Pythagorean theorem to solve for unknown variables in a triangle.
- Emphasized the necessity of a deep comprehension of these trigonometric concepts for success in the GRE and future mathematical studies.

Chapters

00:00

Introduction to Extended Trig Functions

01:35

Geometric Origins and Reciprocal Relationships

04:34

Understanding Pythagorean Identities

06:34

Application Through Practice Problems