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On Trigonometric Functions and Cosine and Sine Rules in Taxicab Plan

Year 2009, Volume: 2 Issue: 1, 17 - 24, 30.04.2009

Abstract

In this study, we try to devolope cosine and sine functions in
the taxicab plane by using the reference angle. Also, we give geometrical
interpretations by using these functions. Then, analogues of the cosine and
sine rules in the taxicab plane are studied.

References

  • [1] Akca, Z. and Kaya, R., On the Taxicab Trigonometry, Jour. of Inst. of Math& Comp. Sci. (Math. Ser) 10 (1997), No 3, 151-159.
  • [2] Akca, Z. and Kaya, R., On the Norm in Higher Dimensional Taxicab Spaces, Hadronic Journal Supplement, 19 (2004), 491-502.
  • [3] Brisbin, R. and Artola, P., Taxicab Trigonometry, Pi Mu Epsilon J., 8, 89-95 (1984).
  • [4]  Ozcan, M. and Kaya, R., On the Ratio of Directed Lengths in the Taxicab Plane and Related Properties, Missouri J. of Math. Sci. 14 , (2002), No 2, 107-117.
  • [5]  Ozcan, M. and Kaya, R., Area of a Triangle in Terms of the Taxicab Distance, Missouri J. of Math. Sci. 14(2003), No 3, 178-185.
  • [6]  Ozcan, M., Ekmekçi S. and Bayar, A., A Note on the Variation of the Taxicab Lengths Under Rotations, Pi Mu Epsilon J.,11(2002), No 7,381-384.
  • [7] Schattschneider, D. J.,The Taxicab Group, American Mathematical Monthly, 91 (1984), 423- 428.
  • [8] Thompson, K. and Dray, T., Taxicab Angles and Trigonometry, Pi Mu Epsilon J., 11 (2000), 87-97.
Year 2009, Volume: 2 Issue: 1, 17 - 24, 30.04.2009

Abstract

References

  • [1] Akca, Z. and Kaya, R., On the Taxicab Trigonometry, Jour. of Inst. of Math& Comp. Sci. (Math. Ser) 10 (1997), No 3, 151-159.
  • [2] Akca, Z. and Kaya, R., On the Norm in Higher Dimensional Taxicab Spaces, Hadronic Journal Supplement, 19 (2004), 491-502.
  • [3] Brisbin, R. and Artola, P., Taxicab Trigonometry, Pi Mu Epsilon J., 8, 89-95 (1984).
  • [4]  Ozcan, M. and Kaya, R., On the Ratio of Directed Lengths in the Taxicab Plane and Related Properties, Missouri J. of Math. Sci. 14 , (2002), No 2, 107-117.
  • [5]  Ozcan, M. and Kaya, R., Area of a Triangle in Terms of the Taxicab Distance, Missouri J. of Math. Sci. 14(2003), No 3, 178-185.
  • [6]  Ozcan, M., Ekmekçi S. and Bayar, A., A Note on the Variation of the Taxicab Lengths Under Rotations, Pi Mu Epsilon J.,11(2002), No 7,381-384.
  • [7] Schattschneider, D. J.,The Taxicab Group, American Mathematical Monthly, 91 (1984), 423- 428.
  • [8] Thompson, K. and Dray, T., Taxicab Angles and Trigonometry, Pi Mu Epsilon J., 11 (2000), 87-97.
There are 8 citations in total.

Details

Primary Language English
Journal Section Research Article
Authors

Ayşe Bayar

Süheyla Ekmekçi

Münevver Özcan This is me

Publication Date April 30, 2009
Published in Issue Year 2009 Volume: 2 Issue: 1

Cite

APA Bayar, A., Ekmekçi, S., & Özcan, M. (2009). On Trigonometric Functions and Cosine and Sine Rules in Taxicab Plan. International Electronic Journal of Geometry, 2(1), 17-24.
AMA Bayar A, Ekmekçi S, Özcan M. On Trigonometric Functions and Cosine and Sine Rules in Taxicab Plan. Int. Electron. J. Geom. April 2009;2(1):17-24.
Chicago Bayar, Ayşe, Süheyla Ekmekçi, and Münevver Özcan. “On Trigonometric Functions and Cosine and Sine Rules in Taxicab Plan”. International Electronic Journal of Geometry 2, no. 1 (April 2009): 17-24.
EndNote Bayar A, Ekmekçi S, Özcan M (April 1, 2009) On Trigonometric Functions and Cosine and Sine Rules in Taxicab Plan. International Electronic Journal of Geometry 2 1 17–24.
IEEE A. Bayar, S. Ekmekçi, and M. Özcan, “On Trigonometric Functions and Cosine and Sine Rules in Taxicab Plan”, Int. Electron. J. Geom., vol. 2, no. 1, pp. 17–24, 2009.
ISNAD Bayar, Ayşe et al. “On Trigonometric Functions and Cosine and Sine Rules in Taxicab Plan”. International Electronic Journal of Geometry 2/1 (April 2009), 17-24.
JAMA Bayar A, Ekmekçi S, Özcan M. On Trigonometric Functions and Cosine and Sine Rules in Taxicab Plan. Int. Electron. J. Geom. 2009;2:17–24.
MLA Bayar, Ayşe et al. “On Trigonometric Functions and Cosine and Sine Rules in Taxicab Plan”. International Electronic Journal of Geometry, vol. 2, no. 1, 2009, pp. 17-24.
Vancouver Bayar A, Ekmekçi S, Özcan M. On Trigonometric Functions and Cosine and Sine Rules in Taxicab Plan. Int. Electron. J. Geom. 2009;2(1):17-24.