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Trigonometric Functions and Complex Numbers

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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 numbers, trigonometric form of a complex number, complex number and equation.

The contents are essential for the IMO. A good help for students who want to improve in these areas.

Edition Number:
Yang Desheng
Release Year:

Shen Chunhui, born in January, 1987. Bachelor of science and master of education of East China Normal University, China. Now teaching in Shanghai Xiang Ming Senior high school. Engaged in math contest counseling, TI graphics calculator contest counseling, etc. He has repeatedly been rated as excellent guidance teachers of contests published a number of articles in the "Journal of mathematics education", "Mathematics Teaching".

Yang Desheng, born in August 1957. Bachelor of science of Hubei University, China.

Guangdong Provincial People's Government Special-grade secondary school teachers and Shanghai Municipal People's Government Special-grade Secondary School teachers. Yangpu District famous teacher. Having ever taught in Lichuan No.1 middle school of Hubei Province, Maoming No.1 middle school and Zhongshan Jinian middle school of Guangdong Province, Shanghai Jiao Tong University affiliated high school. Now teaching in Shanghai Xiang Ming middle school. Deputy Secretary General of the National Research Institute of elementary mathematics. Consultant of the Guangdong Research Institute of elementary mathematics.

In September 1997,Yang was awarded the outstanding teacher of Guangdong province (grand prize). Since 2007, he served as a member of the senior teachers review committee of Shanghai senior high school, and was named outstanding teacher of Shanghai Jiao Tong University in September 2008. He has been rated as excellent coach of Chinese Mathematical Olympiad in Senior many times.

For a long time he was engaged in Mathematical Contest counseling. By counseling students in national high school mathematics competition, hundreds of students won the national high school math League first, second and third prize. He published over 60 papers and published 63 books.

  • Trigonometric Function:
    • Trigonometric Identity
    • Trigonometric Identity
    • Trigonometric Functions
    • Inverse Trigonometric Functions
    • Solutions of Triangles
    • Trigonometric Substitution and Trigonometric Inequality
  • Complex Number:
    • Concept of Complex Number
    • Operations with Complex Number
    • Trigonometric Form of a Complex Number
    • Complex Number and Equation
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The Development of Mathematics
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