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Trigonometric Functions And Complex Numbers: In Mathematical Olympiad And Competitions [Mīkstie vāki]

Translated by (Shanghai Xiangming High Sch, China), (Shanghai Xiangming High Sch, China)
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Trigonometric Functions And Complex Numbers: In Mathematical Olympiad And CompetitionsPalielināt
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Permanent link: https://www.kriso.lv/db/9781938134869.html
Keywords:
Trigonometric Functions and Complex Numbers covers the followings areas in the International Mathematical Olympiad (IMO) and other mathematical competitions. Trigonometric identity, graphs and properties of trigonometric equations, inverse trigonometric functions and trigonometric equations, solutions of triangles, trigonometric substitution and trigonometric inequality; The concept and operation of complex number, trigonometric form of a complex number, complex number and equation.The contents are essential for the IMO. It could be a good help for students who want to improve in these areas.
Preface v
Part I Trigonometric Function
1(188)
Chapter 1 Trigonometric Identity
3(30)
1.1 Trigonometric Ratios for Any Angle
3(13)
1.2 The Induction Formulas and the Relationship Between Trigonometric Ratios of the Same Angle
16(17)
Chapter 2 Trigonometric Identity
33(32)
2.1 Cosines, Sines and Tangents of Addition and Subtraction of Two Angles
33(12)
2.2 Double Angles, Half-Angle, Sum-to-Product Formula and Product-to-Sum Formula
45(20)
Chapter 3 Trigonometric Functions
65(32)
3.1 Graphs and Properties of Trigonometric Functions
65(32)
Chapter 4 Inverse Trigonometric Functions and Trigonometric Equations
97(24)
4.1 Inverse Trigonometric Functions
97(13)
4.2 Trigonometric Equations
110(11)
Chapter 5 Solutions of Triangles
121(30)
5.1 Solutions of Triangles
121(21)
5.2 Area Method
142(9)
Chapter 6 Trigonometric Substitution and Trigonometric Inequality
151(38)
6.1 Trigonometric Substitution
151(10)
6.2 Trigonometric Inequality
161(28)
Part II Complex Number
189(94)
Chapter 7 Concept of Complex Number
191(24)
Chapter 8 Operations with Complex Number
215(12)
8.1 Operations with Complex Number
215(12)
Chapter 9 Trigonometric Form of a Complex Number
227(24)
Chapter 10 Complex Number and Equation
251(32)
Answers 283