Document Type : Original Article

Authors

1 Ward Number – 16, Bhagatbandh, Anuppur 484 224, Madhya Pradesh, India.

2 Elementary School "Jovan Cvijic", Kostolac-Pozarevac, Teacher of Мathematics, Serbia.

3 Department of Mathematics, L. E. College, Morbi-363 642, Gujarat, India.

4 Department of Mathematics, School of Advanced Sciences, Vellore Institute of Technology, Vellore 632 014, Tamil Nadu, India.

5 Department of Mathematics, Indira Gandhi National Tribal University, Lalpur, Amarkantak 484 887, Madhya Pradesh, India.

Abstract

Trigonometry is a part of mathematics which deals with specific functions of angles and their application, and it is studies of the dependence between the sides and angles of a triangle. The word trigonometry is associated the operations between the sides and angles of the triangles. Initially, it aimed to calculate the values of all elements of a triangle (height, centroid length, bisector, radius, area and angles) using data sufficient to determine the triangle. In the paper, trigonometric functions are defined, and some statements about trigonometric identities are stated and proved.

Keywords

  • Ilišević, I. (2009). Applications of AG inequality in planimetry. Osječki matematički list9(2), 55-68.
  • Rathour, L., Obradovic, D., Tiwari, S. K., Mishra, L. N., & Mishra, V. N. (2022). Visualization method in mathematics classes. Computational algorithms and numerical dimensions1(4), 141-146.
  • Abramowitz, M., Stegun, I. A., & Romer, R. H. (1988). Handbook of mathematical functions with formulas, graphs, and mathematical tables. American journal of physics, 56(10), 958. https://aapt.scitation.org/doi/abs/10.1119/1.15378?journalCode=ajp
  • Abramowitz, M., & Stegun, I. A. (1972). Handbook of mathematical functions. Dover Publications Inc. New York.
  • El Bachraoui, M. (2018). Confirming a 𝑞-trigonometric conjecture of Gosper. Proceedings of the American mathematical society146(4), 1619-1625.
  • Yates, R. C. (2012). A handbook on curves and their properties. Literary Licensing, LLC.
  • Touk, S. A., Al Houchan, Z., & El Bachraoui, M. (2017). Proofs for two q-trigonometric identities of Gosper. Journal of mathematical analysis and applications456(1), 662-670.
  • Tiwari, S., Obradovic, D., Rathour, L., Mishra, L. N., & Mishra, V. N. (2021). Methodological recommendations for conducting control work in mathematics teaching. The Journal of engineering and exact sciences7(4), 13611-01. https://doi.org/10.18540/jcecvl7iss4pp13611-01-09e
  • Tiwari, S. K., Obradovic, D., Rathour, L., Mishra, L. N., & Mishra, V. N. (2022). Teaching process and emotional reactions in mathematics. The journal of engineering and exact sciences8(5), 14497-01i. https://doi.org/10.18540/jcecvl8iss5pp14497-01i
  • Tiwari, S. K., Obradovic, D., Rathour, L., Mishra, L. N. & Mishra, V. N. (2021). Visualization in Mathematics Teaching. Journal of advanced mathematics, 20, 431-439. https://doi.org/10.24297/jam.v20i.9136
  • Liu, Z. G. (2005). A theta function identity and its implications. Transactions of the American mathematical society357(2), 825-835.
  • Liu, Z. G. (2005). A three-term theta function identity and its applications. Advances in mathematics195(1), 1-23.
  • Liu, Z. G. (2001). Residue theorem and theta function identities. The Ramanujan journal5(2), 129-151.