APPLIED MATHEMATICS (colored)

APPLIED MATHEMATICS (colored)This book is an introduction to trigonometry and trigonometric applications for high school students. Before beginning this book, students should be familiar with the basic properties of angles, triangles, and circles, and be able to manipulate and factorize algebraic expressions. The book is divided into five sections, structured as follows:The first section covers the concepts of angle, arc, and circle and their basic properties. It also introduces the degree and radian units of angle measure.The second section is an introduction to right triangle trigonometry and introduces key trigonometric identities which are used throughout the rest of the book.The third section deals with trigonometry on the unit circle and leads students to an understanding of the six main trigonometric functions and their properties.The fourth section builds on the material of the previous sections and presents the main trigonometric theorems and formulas that students need to know at this level, with many examples of how they are used.The fifth section concludes the book with a look at some applied trigonometry problems, bringing together the material that students have studied during the course.This book has been designed to be an effective teaching aid, and includes all of the features of the Zambak Modular System high school math teaching series:The book uses a linear teaching approach, with the material in the latter sections building on concepts and math covered previously in the text.Self-test 'Check Yourself' sections at key points in the text allow students to check their understanding and build students' confidence for further study.Exercises at the end of each section give students a chance to use the skills and techniques they have learned to solve both pure and applied problems.A chapter summary at the end of the book provides a concise review of the main content of the chapter. Included in the summary are a set of concept check questions that ask students to explain key concepts and ideas in their own words.Review tests at the end of the book cover the material in the whole book and help to prepare students for exams.CONTENTS:CHAPTER 1: ANALYTIC ANALYSIS OF LINES1. THE COORDINATE PLANE2. ANALYTIC ANALYSIS OF LINES3. FURTHER APPLICATIONS4. EQUATION OF A CIRCLE5. POSITIONS OF LINES AND CIRCLESCHAPTER 2: COMPLEX NUMBERS1. COMPLEX NUMBERS AND THE IMAGINARY UNIT2. COMPLEX NUMBERS AND THE COMPLEX PLANECHAPTER 3: APPLIED TRIGONOMETRY1. TRIGONOMETRIC VALUES OF OTHER ANGLES2. TRIGONOMETRIC THEOREMS AND FORMULAS3. APPLIED TRIGONOMETRY Read more