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Trigonometric functions
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==Notes== {{notelist}} {{reflist|refs= <ref name=klein>{{cite book |chapter=Die goniometrischen Funktionen |at={{nobr|Ch. 3.2}}, {{pgs|175 ff.}} |title=Elementarmathematik vom höheren Standpunkt aus: Arithmetik, Algebra, Analysis|volume=1|author-first=Felix |author-last=Klein |author-link=Felix Klein |date=1924 |orig-year=1902 |edition=3rd |publisher=J. Springer |location=Berlin |language=de |chapter-url=https://books.google.com/books?id=5t8fAAAAIAAJ&pg=PA175 }} Translated as {{cite book|title=Elementary Mathematics from an Advanced Standpoint: Arithmetic, Algebra, Analysis |author-first=Felix |author-last=Klein |author-link=Felix Klein |display-authors=0 |year=1932 |publisher=Macmillan |translator-first1=E. R. |translator-last1=Hedrick |translator-first2=C. A. |translator-last2=Noble |chapter-url=https://archive.org/details/geometryelementa0000feli/page/162/?q=%22ii.+the+goniometric+functions%22 |chapter=The Goniometric Functions |at=Ch. 3.2, {{pgs|162 ff.}} }}</ref> <ref name="Larson_2013">{{cite book |title=Trigonometry |edition=9th |first1=Ron |last1=Larson |publisher=Cengage Learning |date=2013 |isbn=978-1-285-60718-4 |page=153 |url=https://books.google.com/books?id=zbgWAAAAQBAJ |url-status=live |archive-url=https://web.archive.org/web/20180215144848/https://books.google.com/books?id=zbgWAAAAQBAJ |archive-date=15 February 2018 }} [https://books.google.com/books?id=zbgWAAAAQBAJ&pg=PA153 Extract of page 153] {{webarchive|url=https://web.archive.org/web/20180215144848/https://books.google.com/books?id=zbgWAAAAQBAJ&pg=PA153 |date=15 February 2018 }}</ref> <ref name="Aigner_2000">{{cite book |author-last1=Aigner |author-first1=Martin |author1-link=Martin Aigner |author-last2=Ziegler |author-first2=Günter M. |author-link2=Günter Ziegler |title=Proofs from THE BOOK |publisher=[[Springer-Verlag]] |edition=Second |date=2000 |isbn=978-3-642-00855-9 |page=149 |url=https://www.springer.com/mathematics/book/978-3-642-00855-9 |url-status=live |archive-url=https://web.archive.org/web/20140308034453/http://www.springer.com/mathematics/book/978-3-642-00855-9 |archive-date=8 March 2014 }}</ref> <ref name="Remmert_1991">{{cite book |title=Theory of complex functions |author-first1=Reinhold |author-last1=Remmert |publisher=Springer |date=1991 |isbn=978-0-387-97195-7 |page=327 |url=https://books.google.com/books?id=CC0dQxtYb6kC |url-status=live |archive-url=https://web.archive.org/web/20150320010718/http://books.google.com/books?id=CC0dQxtYb6kC |archive-date=20 March 2015 }} [https://books.google.com/books?id=CC0dQxtYb6kC&pg=PA327 Extract of page 327] {{webarchive|url=https://web.archive.org/web/20150320010448/http://books.google.com/books?id=CC0dQxtYb6kC&pg=PA327 |date=20 March 2015 }}</ref> <ref name="Kannappan_2009">{{cite book |author-last=Kannappan |author-first=Palaniappan |title=Functional Equations and Inequalities with Applications |date=2009 |publisher=Springer |isbn=978-0387894911}}</ref> <ref name="Allen_1976">The Universal Encyclopaedia of Mathematics, Pan Reference Books, 1976, pp. 529–530. English version George Allen and Unwin, 1964. Translated from the German version Meyers Rechenduden, 1960.</ref> <ref name="Farlow_1993">{{cite book |title=Partial differential equations for scientists and engineers |url=https://books.google.com/books?id=DLUYeSb49eAC&pg=PA82 |author-first=Stanley J. |author-last=Farlow|author-link= Stanley Farlow |page=82 |isbn=978-0-486-67620-3 |publisher=Courier Dover Publications |edition=Reprint of Wiley 1982 |date=1993 |url-status=live |archive-url=https://web.archive.org/web/20150320011420/http://books.google.com/books?id=DLUYeSb49eAC&pg=PA82 |archive-date=20 March 2015 }}</ref> <ref name="Folland_1992">See for example, {{cite book |author-first=Gerald B. |author-last=Folland |title=Fourier Analysis and its Applications |publisher=American Mathematical Society |edition=Reprint of Wadsworth & Brooks/Cole 1992 |chapter-url=https://books.google.com/books?id=idAomhpwI8MC&pg=PA77 |pages=77ff |chapter=Convergence and completeness |date=2009 |isbn=978-0-8218-4790-9 |url-status=live |archive-url=https://web.archive.org/web/20150319230954/http://books.google.com/books?id=idAomhpwI8MC&pg=PA77 |archive-date=19 March 2015 }}</ref> <ref name="Boyer_1991">Boyer, Carl B. (1991). A History of Mathematics (Second ed.). John Wiley & Sons, Inc. {{isbn|0-471-54397-7}}, p. 210.</ref> <ref name="Gingerich_1986">{{cite magazine |title=Islamic Astronomy |author-first=Owen |author-last=Gingerich |magazine=[[Scientific American]] |date=1986 |volume=254 |page=74 |url=http://faculty.kfupm.edu.sa/PHYS/alshukri/PHYS215/Islamic_astronomy.htm |access-date=13 July 2010 |archive-url=https://web.archive.org/web/20131019140821/http://faculty.kfupm.edu.sa/PHYS/alshukri/PHYS215/Islamic_astronomy.htm |archive-date=19 October 2013}}</ref> <ref name="mact-biog">{{cite web |publisher=School of Mathematics and Statistics University of St Andrews, Scotland |title=Madhava of Sangamagrama |author-first1=J. J. |author-last1=O'Connor |author-first2=E. F. |author-last2=Robertson |url=http://www-gap.dcs.st-and.ac.uk/~history/Biographies/Madhava.html |archive-url=https://web.archive.org/web/20060514012903/http://www-gap.dcs.st-and.ac.uk/~history/Biographies/Madhava.html |url-status=dead |archive-date=14 May 2006 |access-date=8 September 2007 }}</ref> <ref name="Fincke">{{cite web |url=http://www-history.mcs.st-andrews.ac.uk/Biographies/Fincke.html |title=Fincke biography |access-date=15 March 2017 |url-status=live |archive-url=https://web.archive.org/web/20170107035144/http://www-history.mcs.st-andrews.ac.uk/Biographies/Fincke.html |archive-date=7 January 2017 }}</ref> <ref name="Bourbaki_1994">{{cite book |title=Elements of the History of Mathematics |url=https://archive.org/details/elementsofhistor0000bour |url-access=registration |author-first=Nicolás |author-last=Bourbaki |publisher=Springer |date=1994|isbn=9783540647676 }}</ref> <ref name="Gunter_1620">{{cite book |author-first=Edmund |author-last=Gunter |author-link=Edmund Gunter |title=Canon triangulorum |date=1620}}</ref> <ref name="Roegel_2010">{{cite web |title=A reconstruction of Gunter's Canon triangulorum (1620) |editor-first=Denis |editor-last=Roegel |type=Research report |publisher=HAL |date=6 December 2010 |id=inria-00543938 |url=https://hal.inria.fr/inria-00543938/document |access-date=28 July 2017 |url-status=live |archive-url=https://web.archive.org/web/20170728192238/https://hal.inria.fr/inria-00543938/document |archive-date=28 July 2017}}</ref> <ref name="Plofker_2009">See Plofker, ''[[Mathematics in India (book)|Mathematics in India]]'', Princeton University Press, 2009, p. 257<br>See {{cite web |url=http://www.clarku.edu/~djoyce/trig/ |title=Clark University |url-status=live |archive-url=https://web.archive.org/web/20080615133310/http://www.clarku.edu/~djoyce/trig/ |archive-date=15 June 2008 }}<br>See Maor (1998), chapter 3, regarding the etymology.</ref> }}
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