eMath 9

eMath 9 Trigonometric Functions and Sequences (OPS03)

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eMath 9: Trigonometric Functions and Sequences

The e-book is structured so that you will learn all concepts in a logical order and it is meant to be studied from beginning to end. The theory parts are short and concise and at the end of each lesson, you will find a page with assignments. The assignments can be solved directly in the book. You can easily write mathematics on the computer with the eMathStudio math tools, as well as insert pictures, embedded elements and graphs to support your studies and solutions.
Each eMath book includes:
  • 300-400 assignments + answers, in three levels of complexity
  • Numerous example solutions
  • Possibility to add comments and highlight text
  • Possibility to check the correctness of the calculation

Overview: This book gives a more in-depth treatment of trigonometry. It covers the basic trigonometric functions, how to compute with these and how to solve equations with trigonometric functions. The book also covers sequences in general, particularly arithmetic and geometric sequences, as well as arithmetic and geometric sums.

Table of contents:

1 Preface
2 Trigonometry
2.1 Trigonometry and the Unit Circle
2.2 Trigonometric Formulas
2.3 Sine Equations
2.4 Cosine Equations
2.5 Properties of the Tangent Function
2.6 Tangent Equations
3 Trigonometric Functions
3.1 The Basics of Trigonometric Functions
3.2 The Derivative of Trigonometric Functions
3.2.1 The Derivative of the Sine and the Cosine Function
4 Sequences
4.1 Sequences in General
4.2 Recursive Sequences
4.3 Arithmetic Sequences
4.4 Geometric Sequences
4.5 The Monotonicity of a Sequence
5 Summation
5.1 Arithmetic Sums
5.2 Geometric Sums