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Fallacies about the derivative of the trigonometric sine function

URI
https://hdl.handle.net/10497/23345
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Type
Article
Files
 TME-2-1-1.pdf (1009.9 KB)
Citation
Toh, T. L., Tay, E. G., & Tong, C. L. (2021). Fallacies about the derivative of the trigonometric sine function. The Mathematician Educator, 2(1), 1-10. https://ame.org.sg/2021/07/02/tme2021-vol-2-no-2-pp-1-10
Author
Toh, Tin Lam 
β€’
Tay, Eng Guan 
β€’
Tong, Cherng Luen
Abstract

In this paper, several fallacies about the extension of the formula 𝑑/𝑑π‘₯ (sin π‘₯) = cos π‘₯ to the erroneous formula 𝑑/𝑑π‘₯ (sin π‘₯Β°) = cos π‘₯Β° are discussed. In a Commognitive Theory Framework, misconceptions by β€˜newcomers’ can be traced to the use of the word β€œunit”.

Keywords
  • Derivative

  • Trigonometric sine fu...

  • Fallacies

Date Issued
2021
Publisher
Association of Mathematics Educators
Journal
The Mathematician Educator
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