METHODOLOGY FOR GRAPHICALLY SOLVING SIMPLE INEQUALITIES INVOLVING INVERSE TRIGONOMETRIC FUNCTIONS
Keywords:
inverse trigonometric functions, inequalities, graphical method, arcsin, arccos, arctan, arccot, domain of definition, visual thinking.Abstract
This thesis discusses the methodology for graphically solving simple inequalities involving inverse trigonometric functions. The thesis explains step-by-step the stages of solving these inequalities, namely, plotting the graph of the functions, determining the intersection points, and expressing the result in an intermediate form. The advantages of the graphical method include ease of visual perception, simplification of algebraic calculations, and help to consolidate concepts. It is also emphasized that when using the graphical method, the importance of correctly taking into account the areas of determination and drawing graphs accurately is emphasized. This approach is recommended as an effective method for developing students' analytical and visual thinking in the educational process.
References
Karimov T. M. Higher Mathematics. – Tashkent: Uzbekistan, 2015. – 540 p.
Mukhamedov M. Trigonometric Equations and Inequalities. – Tashkent: Science, 2012. – 280 p.
Abramowitz M., Stegun I. Handbook of Mathematical Functions. – New York: Dover Publications, 1972.
Thomas G. B. Calculus and Analytic Geometry. – Addison Wesley, 1996.
Abdullayev A., Jo‘raev A. High School Mathematics Course. – Tashkent: Teacher, 2009.
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