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International Journal of Mathematics Trends and Technology

Research Article | Open Access | Download PDF

Volume 50 | Number 3 | Year 2017 | Article Id. IJMTT-V50P523 | DOI : https://doi.org/10.14445/22315373/IJMTT-V50P523

Research on the Trigonometry as a Main Function of Sine, Secant, Tangent and Formula of Tan and Cot are Inverse


Er. Navin Talkokul
Abstract

we all are familiar with the concept of all trigonometry ratios, functions, formulae. In mathematics altogether the trigonometry is mainly concerned with the function of sine, cosine, and tangent. But that is incorrect because the mathematician Aryabhatta had introduced the trigonometry. Aryabhatta hadn’t said anywhere that the trigonometry as main function is sine, cosine, and tangent. Yet, how this function comes into recognition is also a secret. The main purpose of this research paper is to put forward a thesis on trigonometry being a main function of sine, secant, and tangent instead of sine, cosine, and tangent and also the formula of tan and cot are inverse.

Keywords
Trigonometry, Aryabhatta , sine, secant, and tangent.
References

[1] www.cso.caltech.edu/outreach/log/NIGHT_DAY/elliptical.htm.
[2] https://en.wikipedia.org/wiki/Sine.
[3] 10th textbook geometry, topic name ‘circle’ edition 2016 Page no.71.
[4] 11th textbook mathematics and statistics’ part I, topic name ‘trigonometric function of compound angles Edition 2013 ,page no 28.
[5] 11th textbook mathematics and statistics’ partII, topic name ‘Set, Relation and functions’ page no. 12 , edition 2011.
[6]https://www.scienceabc.com/wpcontent/uploads/2015/12/shutt erstock_208294861.jpg.
[7] 11th textbook mathematics and statistics’ part I, topic name ’circle and conics ‘ Edition 2013 ,page no 107.
[8] 10th textbook geometry, topic name ‘trigonometry’ edition 2016.
[9] https://image.slidesharecdn.com/ aryabhatta-150705040835-lva1-app6892/ 95/ aryabhatta-4-638.jpg? cb=1436069888.

Citation :

Er. Navin Talkokul, "Research on the Trigonometry as a Main Function of Sine, Secant, Tangent and Formula of Tan and Cot are Inverse," International Journal of Mathematics Trends and Technology (IJMTT), vol. 50, no. 3, pp. 147-152, 2017. Crossref, https://doi.org/10.14445/22315373/IJMTT-V50P523

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