Simple Graphical Methods to Learn Trigonometry
Abstract
In this paper, two simple graphical methods to teach and learn trigonometry are presented. The paper is divided into two parts. The first part proposes a graphical approach to memorize the waveforms and the values of the three main trigonometric functions (i.e. tangent, sine, and cosine) when the angle is at 90o. In the second part of the paper, a triangular model has been developed to allow students to memorize trigonometric identities with ease. Five trigonometric identities, namely, the reciprocal, quotient, Pythagorean, product, and derivative identities have been incorporated into the model. By perceiving the model from different lights, the relationships among these five identities could be easily correlated.
How to cite this article:
Yeap KH. Simple Graphical Methods to Learn
Trigonometry. J Adv Res Sig Proc Appl 2020;
2(2): 15-18
References
2. Dimopoulos, C., Katzis, K., and Hawwash, K. (2011). Attracting students to engineering education studies: A survey of practices. Lisbon Congress SEFI (WEE).
3. Ling, F. W. (2016). Factors Associated with Level of Interest in Engineering. Thesis. The University of Western Australia.
4. Matick, R. E. (1969). Transmission Lines for Digital and Communication Networks. In: Superconducting Transmission Lines. 1st Edition. (pp. 211 – 266). US. McGraw-Hill.
5. Pierce, Rod. (25 Sep 2017). "Magic Hexagon for Trig Identities". Math Is Fun. Retrieved 28 Jan 2020 from http://www.mathsisfun.com/algebra/trig-magic-hexagon.html
6. Wheeler, H. A. (1964). Transmission-line properties of parallel wide strips by a conformal mapping approximation. IEEE Transactions on Microwave Theory and Techniques, 12, 280 – 289.
7. Yassin, G. and Withington, S. (1995). Electromagnetic models for superconducting millimetre-wave and submillimetre-wave microstrip transmission line. Journal of Physics D: Applied Physics, 28, 1983 – 1991.
8. Yeap, K. H., Tham, C. Y., Yeong, K. C., and Lim, E. H. (2010c). Full wave analysis of normal and superconducting microstrip transmission lines. Frequenz Journal of RF-Engineering and Telecommunications, 64, 59 – 66.
9. Yeap, K. H., Tham, C. Y., Yeong, K. C., and Woo, H. J. (2010a). Wave propagation in lossy and superconducting circular waveguides. Radioengineering Journal, 19, 320 – 325.
10. Yeap, K. H., Tham, C. Y., Yeong, K. C., Yong, Y. T., and Chong, K. H. (2010b). Propagation near cutoff frequency in a lossy rectangular waveguide. International Journal of Electronics, Computer, and Communications Technologies, 1, 26 - 30.
11. Yeap, K. H., Wong, E. V. S., Nisar, H., Lai, K. C., and Ng, C. A. (2017). Attenuation in circular and rectangular waveguides. Electromagnetics, 37(3), 171 – 184.