METHODS FOR FINDING THE ROOTS OF TRIGONOMETRIC EQUATIONS WITHIN A GIVEN INTERVAL

This article provides an in-depth study of various methods for solving trigonometric equations and finding their roots in a given interval.
It provides a theoretical and methodological analysis of such methods as arithmetic, algebraic, geometric, graphical, genetic, and visualgenetic.
The advantages and disadvantages of each method are illustrated with experimental examples, and the need to choose methods
that are adapted to the individual abilities of students is justified. The article compares the ways to solve trigonometric equations using
classical and advanced approaches, which can serve as a practical methodological tool for teachers.