Trig Or Treat: An Encyclopedia Of Trigonometric Identity Proofs (Tips) With Intellectually Challenging Games An Encyclopedia of Trigonometric Identity Proofs (TIPs) with Intellectually Challenging Games

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. 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. 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 This proceedings volume is devoted to the interplay of symmetry and perturbation theory, as well as to cognate fields such as integrable systems, normal forms, n-body dynamics and choreographies, geometry and symmetry of differential equations, and finite and infinite dimensional dynamical systems. The papers collected here provide an up-to-date overview of the research in the field, and have many leading scientists in the field among their authors, including: D Alekseevsky, S Benenti, H Broer, A Degasperis, M E Fels, T Gramchev, H Hanssmann, J Krashil'shchik, B Kruglikov, D Krupka, O Krupkova, S Lombardo, P Morando, O Morozov, N N Nekhoroshev, F Oliveri, P J Olver, J A Sanders, M A Teixeira, S Terracini, F Verhulst, P Winternitz, and B Zhilinskii Preface -- Introduction -- Trig-level one. The basics of trigonometry. Pythagoras' theorem -- Trig-level two. Compound angles, double angles and half angles -- Trig-level three. Angles in a triangle. Sum and difference of sin and cos -- Practical trig. Numerical values of special angles-graphs of sin, cos and tan for 0-360 degrees -- Appendix. The concordance of trigonometric identities. The encyclopedia of trigonometric games or trigonometric identity proofs (TIPs) -- Level-one-games: easy proofs -- Level-two-games: less-easy proofs -- Level-three-games: not-so-easy proofs -- Addenda "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 the unique Concordance of Trigonometric Identities, enabling easy reference."--Jacket