Research Article
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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.

Details

Primary Language English
Journal Section Research Article
Authors

Ayşe BAYAR>


Süheyla EKMEKÇİ>

0000-0003-2820-2096


Münevver ÖZCAN This is me

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

Cite

Bibtex @research article { iejg584305, journal = {International Electronic Journal of Geometry}, eissn = {1307-5624}, address = {}, publisher = {Kazım İLARSLAN}, year = {2009}, volume = {2}, number = {1}, pages = {17 - 24}, title = {On Trigonometric Functions and Cosine and Sine Rules in Taxicab Plan}, key = {cite}, author = {Bayar, Ayşe and Ekmekçi, Süheyla and Özcan, Münevver} }
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 . Retrieved from https://dergipark.org.tr/en/pub/iejg/issue/46545/584305
MLA Bayar, A. , Ekmekçi, S. , Özcan, M. "On Trigonometric Functions and Cosine and Sine Rules in Taxicab Plan" . International Electronic Journal of Geometry 2 (2009 ): 17-24 <https://dergipark.org.tr/en/pub/iejg/issue/46545/584305>
Chicago Bayar, A. , Ekmekçi, S. , Özcan, M. "On Trigonometric Functions and Cosine and Sine Rules in Taxicab Plan". International Electronic Journal of Geometry 2 (2009 ): 17-24
RIS TY - JOUR T1 - On Trigonometric Functions and Cosine and Sine Rules in Taxicab Plan AU - AyşeBayar, SüheylaEkmekçi, MünevverÖzcan Y1 - 2009 PY - 2009 N1 - DO - T2 - International Electronic Journal of Geometry JF - Journal JO - JOR SP - 17 EP - 24 VL - 2 IS - 1 SN - -1307-5624 M3 - UR - Y2 - 2022 ER -
EndNote %0 International Electronic Journal of Geometry On Trigonometric Functions and Cosine and Sine Rules in Taxicab Plan %A Ayşe Bayar , Süheyla Ekmekçi , Münevver Özcan %T On Trigonometric Functions and Cosine and Sine Rules in Taxicab Plan %D 2009 %J International Electronic Journal of Geometry %P -1307-5624 %V 2 %N 1 %R %U
ISNAD Bayar, Ayşe , Ekmekçi, Süheyla , Özcan, Münevver . "On Trigonometric Functions and Cosine and Sine Rules in Taxicab Plan". International Electronic Journal of Geometry 2 / 1 (April 2009): 17-24 .
AMA 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.
Vancouver Bayar A. , Ekmekçi S. , Özcan M. On Trigonometric Functions and Cosine and Sine Rules in Taxicab Plan. International Electronic Journal of Geometry. 2009; 2(1): 17-24.
IEEE A. Bayar , S. Ekmekçi and M. Özcan , "On Trigonometric Functions and Cosine and Sine Rules in Taxicab Plan", International Electronic Journal of Geometry, vol. 2, no. 1, pp. 17-24, Apr. 2009