Elementary Mathematics . Part 6 . Trigonometric Inequalities . Trigonometric Equation Systems: A Tutorial is an indispensable resource for students, teachers, and anyone who seeks to understand the basics of trigonometry and master the skills to solve complex problems. The author’s team has created a book that not only systematizes knowledge on the topic, but also turns learning into an exciting journey through the world of trigonometric inequalities and systems of equations. This part of the series "Elementary Mathematics" is devoted to one of the most important and at the same time complex sections of trigonometry - inequalities and systems of equations. It reveals the subtleties and nuances of working with trigonometric expressions, demonstrates methods for solving them, and provides practical examples that help to consolidate theoretical knowledge. The author's team, including experienced teachers and mathematicians, created a book that is suitable for both self-study and for use in classrooms. The presentation style is distinguished by clarity, logical consistency and attention to detail, which makes the material available even for those who are just beginning to get acquainted with trigonometry. Elementary Mathematics . Part 6 . Trigonometric Inequalities . Systems of Trigonometric Equations" is not just a collection of formulas and solutions. This is a guide to the world of trigonometric expressions, which will help to understand why inequality and systems of equations are solved in this way, what methods are most effective in specific situations, and how to apply the knowledge gained in real problems. It examines in detail the basic properties of trigonometric functions, their graphs, features of solving inequalities, as well as methods for transforming and simplifying systems of equations, which makes the book a valuable tool for those who want to achieve a confident mastery of this section of mathematics. The book will be especially useful for students of technical, mathematical and engineering specialties, as well as teachers looking for high-quality educational material for their classes. It is perfect for those who want to prepare for exams, olympiads or simply expand their knowledge in the field of trigonometry. Thanks to practical tasks and analysis of typical errors, the reader will be able not only to understand the theory, but also to learn how to apply it in practice, which is especially important in the modern world, saturated with technical problems. The book pays special attention to the development of analytical thinking and skills of logical analysis, as well as the ability to find non-standard solutions. The author's style is lively and accessible, which makes complex topics understandable and interesting. In the book, parallels can also be found with other branches of mathematics, which contributes to a deeper understanding of the subject and the development of inter-subject relationships. If you are looking for a tutorial that will help you not only master trigonometric inequalities and systems of equations, but also teach you how to think mathematically, this book will be an excellent choice for you. It is suitable for both self-study and for use in study groups and exam preparation. Inspiring and full of practical tasks, “Elementary Mathematics . Part 6" will open up new horizons in the world of mathematics and will help you to confidently walk on the path to professional mastery. So, if you’re looking for a high-quality, clear and deep trigonometry tutorial that will make complex topics accessible and interesting, don’t miss out on “Elementary Mathematics . Part 6 . Trigonometric Inequalities . Systems of trigonometric equations" - a book that will become your reliable assistant and a source of knowledge on the way to mathematical perfection