Eleven Proof of the Cosinus Form of Two Angle Differences


  • (1)  Arziqulov A. U            Samarkand State University, Candidate of Science, Samarkand city, Uzbekistan  
            Uzbekistan

  • (2)  Janiqulov Q. K            Samarkand State University, Independent Researcher, Samarkand city, Uzbekistan  
            Uzbekistan

    (*) Corresponding Author

DOI:

https://doi.org/10.47494/mesb.v29i.1540

Keywords:

Trigonometric functions, saxm(x), circle, basic trigonometric identity, right triangle, Pythagorean theorem, equilateral triangle, surface of a triangle, distance between two points, sum of vectors, scalar product

Abstract

This paper presents eleven different methods for proving addition formulas for trigonometric functions. The first methods of proof are given by the seventh trigonometric function defined in Mirzo Ulugbek’s work. Other methods of proof are based on the equality of triangles, formulas for calculating the area of a triangle, the distance between two points, definitions of trigonometric functions, basic trigonometric identities, and operations on vectors.

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Published

2022-10-10

How to Cite

A. U, A., & Q. K, J. (2022). Eleven Proof of the Cosinus Form of Two Angle Differences. Middle European Scientific Bulletin, 29, 45-54. https://doi.org/10.47494/mesb.v29i.1540

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Education