Some identities involving inverse trigonometric functions without the zero derivative theorem

被引：0
|
作者：
Hassani, Mehdi [1 ,2 ]
机构：
[1] Univ Zanjan, Dept Math, Zanjan, Iran
[2] Univ Zanjan, Dept Math, Univ Blvd, Zanjan 4537138791, Iran
来源：
INTERNATIONAL JOURNAL OF MATHEMATICAL EDUCATION IN SCIENCE AND TECHNOLOGY | 2024年 / 55卷 / 05期
关键词：
One-variable calculus; elementary functions; differentiation;
D O I：
10.1080/0020739X.2022.2128457
中图分类号：
G40 [教育学];
学科分类号：
040101 ; 120403 ;
摘要：
We give a geometric-trigonometric approach to obtain several identities involving inverse of the functions sin, cos and tan. This provides some new examples satisfying the zero derivative theorem.
引用
收藏
页码：1295 / 1302
页数：8
相关论文
共 32 条
  • [1] Identities for combinatorial sums involving trigonometric functions
    Alzer, H.
    Yakubovich, S.
    INTEGRAL TRANSFORMS AND SPECIAL FUNCTIONS, 2023, 34 (08) : 563 - 569
  • [2] Identities involving trigonometric functions and Bernoulli numbers
    Zhang, Wenpeng
    Lin, Xin
    APPLIED MATHEMATICS AND COMPUTATION, 2018, 334 : 288 - 294
  • [3] Some Trigonometric Identities Involving Fibonacci and Lucas Numbers
    Bibak, Kh.
    Haghighi, M. H. Shirdareh
    JOURNAL OF INTEGER SEQUENCES, 2009, 12 (08)
  • [4] A COMPLETENESS THEOREM FOR TRIGONOMETRIC IDENTITIES AND VARIOUS RESULTS ON EXPONENTIAL FUNCTIONS
    VANDENDRIES, L
    PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 1986, 96 (02) : 345 - 352
  • [5] Some identities involving theta functions
    Alaca, Ayse
    Alaca, Saban
    Williams, Kenneth S.
    JOURNAL OF NUMBER THEORY, 2009, 129 (06) : 1404 - 1431
  • [6] Some identities involving Inverse Gamma integrals
    Carlos Sampedro, Juan
    RAMANUJAN JOURNAL, 2019, 48 (03): : 577 - 583
  • [7] Some identities involving Inverse Gamma integrals
    Juan Carlos Sampedro
    The Ramanujan Journal, 2019, 48 : 577 - 583
  • [8] Improper Integrals Involving Powers of Inverse Trigonometric and Hyperbolic Functions
    Li, Chunli
    Chu, Wenchang
    MATHEMATICS, 2022, 10 (16)
  • [9] New approximations of some expressions involving trigonometric functions
    Nenezic, Marija
    Malesevic, Branko
    Mortici, Cristinel
    APPLIED MATHEMATICS AND COMPUTATION, 2016, 283 : 299 - 315
  • [10] SOME ARITHMETIC IDENTITIES INVOLVING DIVISOR FUNCTIONS
    Alaca, Saban
    Uygul, Faruk
    Williams, Kenneth S.
    FUNCTIONES ET APPROXIMATIO COMMENTARII MATHEMATICI, 2012, 46 (02) : 261 - 271
1234