Н. К. Сейдімбек 1


Using methods for solving trigonometric equations



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Using methods for solving trigonometric equations
in a school mathematics course
The article describes the program of the trigonometry section in the school mathematics course and 
the application of trigonometry in life. The introduction defines trigonometric equations and mentions 
the types of solutions to the equation. The examples show methods for solving trigonometric equations. 
The ways of solving simple trigonometric equations and the possibilities of their independent solution 
are illustrated. Separately, methods for solving equations were noted, which are actually little used in 
the school mathematics course. According to the results of the study, about ten types of methods for 
solving trigonometric equations were identified. In order to reveal the essence of the methods of solv-
ing trigonometric equations, the problems for each method are considered and the ways of deducing 
these problems are shown. In addition, this article discussed the difficulties faced by students in solving 
trigonometric equations, and the methods proposed by A. G. Mordkovich in solving these problems. 
In the final part, the results of the methodological experience of teachers are summarized, when 
students practiced solving a series of problems on the topic “Methods for solving trigonometric equa-
tions” and teachers identified abilities that can be developed in students to solve the equation. In the 
future, it is planned to publish a specific methodological manual on the topic “Trigonometric equations 
and inequalities”.
 
Key words:
trigonometric equation, methodology, equation solution, methods.


133
Н.К. Сейдімбек және т.б.
Н.К. Сейдимбек
1* 
, С.Е. Касенов

, А.М. Тлеулесова
2
,
К.М. Шияпов

, А.И. Ануар

1
Казахский национальный женский педагогический университет, Казахстан, г. Алматы
2
Казахский национальный университет имени аль-Фараби, Казахстан, г. Алматы
3
Казахский национальный педагогический университет имени Абая, Казахстан, г. Алматы 
*e-mail: nurzhamal.n2000@gmail.com


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