Trig or treat: An encyclopedia of trigonometric identity proofs with intellectually challenging games

Ning Hong Yeo9812776184, 9789812776181, 9789812776204

This encyclopedia contains trigonometric identity proofs for some three hundred identities. The book is presented in the form of mathematical games for the reader s enjoyment and includes a concordance of trigonometric identities, enabling easy reference. Trig or Treat is a must-have for: every student of trigonometry, to find the proofs for trigonometric identities that may be set in class or in exams; every teacher of trigonometry, to have easy access to trigonometric identities of different levels of difficulty, to set assignments for different levels of students; every library, to provide a ready resource for students every aficionado of Sudoku, crossword puzzles, jigsaw puzzles, Tetris, and other games, who love an intellectual challenge.

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Table of contents :
Contents……Page 8
Preface……Page 10
Introduction……Page 14
Trig — Level One 1 The Basics of Trigonometry……Page 16
Pythagoras’ Theorem……Page 26
Trig — Level Two Compound Angles, Double Angles and Half Angles……Page 30
Trig — Level Three Angles in a Triangle Sum and Difference of sin and cos……Page 40
Practical Trig Numerical Values of Special Angles — Graphs of sin, cos and tan for 0 –360……Page 48
Appendix……Page 59
The Concordance of Trigonometric Identities……Page 62
The Encyclopedia of Trigonometric Games or Trigonometric Identity Proofs (TIPs)……Page 86
Level-One-Games: Easy Proofs……Page 88
Level-Two-Games: Less-Easy Proofs……Page 266
Level-Three-Games: Not-So-Easy Proofs……Page 364
Addenda……Page 408
About the Author……Page 415