О.В.Пак, Д.Ардақұлы, Е.В.Ескендирова, Алгебра және анализ бастамалары (Қоғамдық-гуманитарлық бағыт) 10-сынып, 1-бөлім, 2019
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О.В.Пак
Д.Ардақұлы
Е.В.Ескендирова
10-сынып
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О.В.Пак, Д.Ардақұлы, Е.В.Ескендирова, Алгебра және анализ бастамалары (Қоғамдық-гуманитарлық бағыт) 10-сынып, 1-бөлім, 2019
Preparing book pages
1
Entries
55
Review
Problem
Page 6
1.1. Function and methods of defining it
Theory
Page 11
1.2. Properties of a function
Theory
Page 19
1.3. Even and odd functions
Theory
Page 30
1.4. Periodic functions
Theory
Page 38
1.5. Composition of functions and inverse function
Theory
Page 46
1.5.1. Composite functions
Theory
Page 46
1.5.2. Mutually inverse functions
Theory
Page 53
1.6. Graphing and analyzing a function
Theory
Page 60
2.1. Properties and graphs of trigonometric functions
Theory
Page 74
2.1.1. Radian measure of an angle and algebraic angle
Theory
Page 74
2.1.2. Definitions of trigonometric functions
Theory
Page 76
2.2. Graphs of functions
Theory
Page 79
2.2.1. The function y = sin x
Theory
Page 79
2.2.2. The function y = cos x
Theory
Page 82
2.2.3. Examples of graphing and analyzing functions
Theory
Page 82
2.2.4. The function y = tan x
Theory
Page 88
2.2.5. The function y = cot x
Theory
Page 90
2.2.6. Examples
Theory
Page 92
2.3. Inverse trigonometric functions
Theory
Page 99
2.3.1. Arccotangent
Theory
Page 99
2.3.2. Arctangent
Theory
Page 101
2.3.3. Arccosine
Theory
Page 103
2.3.4. Arcsine
Theory
Page 105
2.4. Transforming expressions with inverse trigonometric functions
Theory
Page 111
2.5. Equations and inequalities with inverse trigonometric functions
Theory
Page 117
3.1. Basic trigonometric equations
Theory
Page 124
3.1.1. Equations of the form sin x = a
Theory
Page 124
3.1.2. Equations of the form cos x = a
Theory
Page 132
3.1.3. Equations of the form tan x = a and cot x = a
Theory
Page 138
3.2. Methods for solving complex trigonometric equations
Theory
Page 144
3.2.1. Preliminary remark
Theory
Page 144
3.2.2. Equations reducible to quadratic equations
Theory
Page 145
3.2.3. Homogeneous trigonometric equations
Theory
Page 148
3.2.4. Factoring method
Theory
Page 153
3.3. Basic trigonometric inequalities
Theory
Page 157
3.3.1. Inequalities containing sin x
Theory
Page 157
3.3.2. Inequalities containing cos x
Theory
Page 164
3.3.3. Inequalities containing tan x and cot x
Theory
Page 168
3.3.4. System of basic trigonometric inequalities
Theory
Page 172
4.1. Basic concepts
Theory
Page 179
4.1.1. Experiments, elementary outcomes and events
Theory
Page 179
4.1.2. Compatible and incompatible events. Complementary events
Theory
Page 182
4.1.3. Union and intersection of events
Theory
Page 184
4.2. Combinatorics
Theory
Page 188
4.2.1. Multiplication and addition principles
Theory
Page 188
4.2.2. Basic formulas of combinatorics
Theory
Page 190
4.3. Classical definition of probability
Theory
Page 197
4.4. Geometric definition of probability
Theory
Page 207
4.5. Independent events
Theory
Page 212
4.5.1. Independent events and their intersection
Theory
Page 212
4.5.2. Probability of the union of events
Theory
Page 214
Appendix. A set on the number line
Other
Page 220
Reference materials
Other
Page 223
References
Other
Page 239
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