• DocumentCode
    1136749
  • Title

    A New Algorithm for the Tangent

  • Author

    Preston, Frank S.

  • Author_Institution
    NORDEN Division of United Technologies Corporation
  • Issue
    2
  • fYear
    1978
  • Firstpage
    167
  • Lastpage
    167
  • Abstract
    A new mathematical algorithm has been developed for the tangent. The form of the equation guarantees that the error is zero at 0°, 45°, and 90° corresponding to tangents of 0, 1, and infinity. With only one constant the error is brought to zero at two more points and the maximum error is less than one part in 3000. By adding a second constant, the error is reduced to less than one in 720 000. Further terms improve the accuracy geometrically.
  • Keywords
    Analog computing; tangent approximation; Analog computers; Bridge circuits; Computer errors; Equations; H infinity control; Potentiometers; Resistors; Shafts; Analog computing; tangent approximation;
  • fLanguage
    English
  • Journal_Title
    Computers, IEEE Transactions on
  • Publisher
    ieee
  • ISSN
    0018-9340
  • Type

    jour

  • DOI
    10.1109/TC.1978.1675052
  • Filename
    1675052