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Please use this identifier to cite or link to this item: http://acervodigital.unesp.br/handle/unesp/360819
Title: 
Calculus-free derivatives of sine and cosine
Author(s): 
McConnell, B
Language: 
eng
Description: 
  • Calculus, Trigonometric Functions
  • As a large square of side 2pi curls into a cylinder, an uncurled unit square is kept tangent to it, so that the unit square's diagonal always lies tangent to the helix formed by the larger square's diagonal. Projecting the helix into three mutually perpendicular planes yields a sinusoid, a "cosinusoid", and a circle; projecting the unit square's diagonal yields segments tangent to those curves. Basic geometric analysis of this figure then provides a straightforward development of the formulas for the derivatives of the sine and cosine functions from calculus… with nary a difference quotient to be seen
  • Componente Curricular::Educação Superior::Ciências Exatas e da Terra::Matemática
Issue Date: 
  • 15-Sep-2008
  • 15-Sep-2008
  • 2008
  • 15-Sep-2008
  • 12-Sep-2008
Publisher: 
Wolfram Demonstration Project
Keywords: 
  • Trigonometric function
  • Sine
  • Derivative
  • Cosine
  • Tangent
  • Educação Superior::Ciências Exatas e da Terra::Matemática::Álgebra
Credits: 
This demonstration needs the "MathematicaPlayer.exe" to run. Found in http://objetoseducacionais2.mec.gov.br/handle/mec/4737
Source: 
http://objetoseducacionais2.mec.gov.br/handle/mec/5368
URI: 
http://acervodigital.unesp.br/handle/unesp/360819
Rights: 
Demonstration freeware using Mathematica Player
Type: 
outro
Appears in Collections:MEC - Objetos Educacionais (BIOE) - OE

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