TRIGONOMETRIC FUNCTIONS
(Problem-Solving Aprroach)

By tradition, trigonometry is an important component of mathematics courses at high school, and trigonometry questions are always set at oral and written examinations to those entering universities, engineering colleges, and teacher-training institutes. The aim of this study aid is to help the student to master the basic techniques of solving difficult problems in trigonometry using appropriate definitions and theorems from the school course of mathematics. To present the material in a smooth way, we have enriched the text with some theoretical material from the textbook Algebra and Fundamentals of Analysis edited by Academician A. N. Kolmogorov and an experimental textbook of the same title by Professors N.Ya. Vilenkin, A.G. Mordkovich, and V.K. Smyshlyaev, focussing our attention on the application of theory to solution of problems. That is why our book contains many worked competition problems and also some problems to be solved independently (they are given at the end of each chapter, the answers being at the end of the book).