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eMath 9: Trigonometric Functions and Sequences

CURRENT OFFER: Get 4f Studio Student Edition subscription for free with book purchase, valid 12 months from purchase!
The ebooks are 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 4f Studio math tools, as well as insert pictures, embedded elements and graphs to support your studies and solutions. When your are finished, you can let the computer automatically check your assignments. The automatic checker sends each step in the derivation to an automatic theorem prover. If each step in the derivation is proved correct, the derivation is correct. The checker warns when it was not able to prove a derivation step correct, so that you can inspect the step, see your mistakes easily and correct them. See 4f Checker for more details.
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  • Numerical and symbolical calculator

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