Advertisement

A Note on the History of Trigonometric Functions

  • Jean-Pierre Merlet
Conference paper

Abstract

Trigonometric functions appear very frequently in mechanism kinematic equations (for example as soon a revolute joint is involved in the mechanism). Dealing with these functions is di cult and trigonometric substi- tutions are used to transform them into algebraic terms that can be handled more easily. We present briefly the origin of the trigonometric functions and of these substitutions.

Keywords trigonometric substitutions robotics 

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. [Grattan-Guiness 94]
    Grattan-Guiness I. Companion Encyclopedia of the History and Philosophy of the Mathematical Science. I. Grattan-Guiness Ed., Londres, 1994.Google Scholar
  2. [Je rey 94]
    Jeffrey D.J. The importance of being continuous. Mathematics Magazine, 67:294–300, 1994.zbMATHCrossRefMathSciNetGoogle Scholar
  3. [Karpinski 46]
    Karpinski L.C. The place of trigonometry in the development of mathematical sciences. Scripta Math., 12:268–272, 1946.MathSciNetGoogle Scholar
  4. [Katz 87]
    Katz V.J. The calculus of the trigonometric functions. Historia Mathematica, 14(4):311–324, 1987.zbMATHCrossRefMathSciNetGoogle Scholar
  5. [Singh 39]
    Singh A.N. Hindu trigonometry. Proc. Benares Math. Soc., 1:77–92, 1939.MathSciNetGoogle Scholar
  6. [Singh Chand 94]
    Singh S.L. and Chand R. Hindu trigonometry. J. Natur. Phys. Sci., 5/8:159–166, 1991/94.MathSciNetGoogle Scholar
  7. [Stewart 94]
    Stewart J. Single variable calculus. Brooks/Cole, 1994.Google Scholar
  8. [Toomer 74]
    Toomer G.J. The chord table of Hipparchus and the early history of Greek trigonometry. Centaurus, 18:6–28, 1973/74.CrossRefMathSciNetGoogle Scholar
  9. [VdWaerden 86]
    Van der Waerden B.L. On Greek and Hindu trigonometry. Bull. Soc. Math. Belg. Sér., A38:397–407, 1986.Google Scholar

Copyright information

© Kluwer Academic Publishers 2004

Authors and Affiliations

  • Jean-Pierre Merlet
    • 1
  1. 1.INRIASophia-Antipolis CedexFrance

Personalised recommendations