DOUBLE SUBSTITUTION IN TRIGONOMETRIC EQUATIONS

Abstract

The article discusses a method for solving certain types of trigonometric equations, inequalities and problems with parameters – double substitution, describes a class of trigonometric equations in which double substitution is expedient, and the advantages of double substitution in comparison with other methods are justified. The double substitution method is known, although it is practically not presented in school textbooks, collections of problems in elementary mathematics and other educational and methodological literature, which explains the relevance of the research topic. At the same time, it turns out to be simpler and more effective in solving some trigonometry problems than the more traditional methods usually used in the school course of mathematics – this determines the practical significance of the study.