Features of teaching trigonometric equations and inequalities with a parameter

Abstract

This article discusses the features of teaching trigonometric equations and inequalities in the context of the renewal of
education. Problems with parameters play an important role in the formation of logical thinking and mathematical
culture in schoolchildren, but their solution causes them significant difficulties. Most trigonometric equations with
parameters are reduced to solving the simplest trigonometric equations of three types.
When solving such equations, it is necessary to take into account the properties of trigonometric functions. When
solving problems that contain a parameter, there are problems that can be divided into two large classes. The first class
includes problems in which you need to solve an inequality or equation for all possible values of the parameters. The second class includes problems in which it is necessary to find not all possible solutions, but only those that satisfy
some additional conditions.