Finding the Values of Trigonometric Function without the Use of Scientific Calculators: The Case of Tangent Function.
In the realm of calculating trigonometric functions, computing the tangent function with a high degree of accuracy and precision without using scientific calculators has been an area of interest and importance. In this article, the author, Tole Fikadu Aga, presents a novel set of formulas that enab...
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| Format: | Article |
| Language: | English |
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Adama Science and Technology University
2023-12-01
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| Series: | Ethiopian Journal of Science and Sustainable Development |
| Subjects: | |
| Online Access: | https://ejssd.astu.edu.et/index.php/EJSSD/article/view/413 |
| Summary: | In the realm of calculating trigonometric functions, computing the tangent function with a high degree of accuracy and precision without using scientific calculators has been an area of interest and importance. In this article, the author, Tole Fikadu Aga, presents a novel set of formulas that enable the computation of the tangent function values without resorting to scientific calculators. The author's work on this topic was submitted to various academic institutions, and it was received positively, with evaluators recognizing the effectiveness of the formulas. The proposed formulas generate results that exhibit a remarkably high level of accuracy and precision, reproducible up to three decimal places. They are applicable within the respective intervals , and whereby θ is measured in degrees. For angles larger than 90 degrees, the author utilizes the unit circle definition of the function. The paper provides detailed and comprehensive derivations of each formula for every one of the respective intervals and compares their results with the existing tangent function values, utilizing a table method comparison. Taking into account the high degree of accuracy and precision exhibited by these formulas, the author recommends their practical adoption by both students and teachers at all levels of their academic pursuits. Overall, the formulas proposed in this article have the potential to facilitate mathematical calculations and scientific research by providing more accurate and efficient means of calculating tangent function values.
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| ISSN: | 1998-0531 2663-3205 |