Trigonometry demystified

Part I: origins and theory. Angles, distances, and triangles

cartesian coordinates

The unit-circle paradigm

Mappings, relations, functions, and inverses

Hyperbolic functions

Polar coordinates

Three-space vectors

Test: part I

Part II: extensions and applications. Scientific notation

Surveying, navigation, and astronomy

Electrical waves and phase

Geometrical optics

Trigonometry on a sphere

The infinite-series paradigm

Test: part II

Final exam

Answers to quizzes, tests, and final exam

Appendix: circular and hyperbolic identities.