Razlika između verzija stranice "Ekssekans i ekskosekans"
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Red 5:
[[Datoteka:Circle-trig6.svg|mini|320x320piksel|Trigonometrijske funkcije, uključujući i exsekans, mogu biti kontruisane unutar jedinične kružnice koja ima centar u ''O''. Na ovoj slici exsekans predstavlja dio sekansne linije definisan kao odsječak ''DE''.]]
'''Exsekans''',<ref name="Allen_1894">{{cite book|url=https://archive.org/details/railroadcurvesea00allerich|title=Railroad Curves and Earthwork|date=1894|publisher=Spon & Chamberlain; E. & F. Spon, Ltd.|location=New York, USA; London, UK|access-date=2015-11-16|orig-year=1889|author-first=Calvin Frank|author-last=Allen}}</ref><ref name="Nagle_1897" /><ref name="Engineer_1897" /><ref name="Clagett_1969">{{cite book|url=https://books.google.com/books?id=WboPReSZ668C|title=Critical Problems in the History of Science|date=1969|publisher=[[University of Wisconsin Press, Ltd.]]|isbn=0-299-01874-1|editor-last=Clagett|editor-first=Marshall|edition=3|location=Madison, Milwaukee, and London|pages=185–190|chapter=5: Commentary on the Paper of [[E. J. Dijksterhuis]] (The Origins of Classical Mechanics from Aristotle to Newton)|lccn=59-5304|id=9780299018740|author-link=Carl Benjamin Boyer|access-date=2015-11-16|orig-year=1959|author-first=Carl Benjamin|author-last=Boyer}}</ref><ref name="Abramowitz_1972" /><ref name="Calvert_2004">{{cite web|url=http://www.du.edu/~jcalvert/math/trig.htm|title=Trigonometry|date=2007-09-14|orig-year=2004|url-status=
: <math>\operatorname{exsec}(\theta) = \sec(\theta) - 1 = \frac{1}{\cos(\theta)} - 1.</math><ref name="Abramowitz_1972">{{cite book|editor1-first=Milton|editor1-last=Abramowitz|editor1-link=Milton Abramowitz|editor2-first=Irene Ann|editor2-last=Stegun|editor2-link=Irene Stegun|author1-first=Ruth|author1-last=Zucker|title=Handbook of Mathematical Functions with Formulas, Graphs, and Mathematical Tables|title-link=Abramowitz and Stegun|location=Washington D.C.<!-- NBS edition -->; New York<!-- Dover edition -->|publisher=United States Department of Commerce, National Bureau of Standards; Dover Publications|series=Applied Mathematics Series|volume=55|orig-year=June 1964|date=1983<!-- Dover 9th reprint edition carries no date indication, but samples from around 1983 for USD17.95 as well as copies with ISBN-13, introduced after 2005, are known to exist and have the same set of additional errata. Hence took the oldest known date. -->|edition=Ninth reprint with additional corrections of tenth original printing with corrections (December 1972); first<!-- edition -->|isbn=978-0-486-61272-0<!-- of 9th Dover reprint -->|lccn=64-60036<!-- original Government edition 1964, 1st printing -->|id=6512253<!-- Dover reprint edition 1965, 1st printing -->|mr=0167642|contribution=4.3.147: Elementary Transcendental Functions - Circular functions|pages=78|contribution-url=http://www.math.sfu.ca/~cbm/aands/page_78.htm}}</ref><ref name="Calvert_2004" /><ref name="Tapson_2004" /><ref name="Cajori_1929" /><ref name="Precalc_1999" /><ref name="Kenyon_1913">{{cite book|url=https://books.google.com/books?id=RsxHAAAAIAAJ|title=Trigonometry|date=1913|publisher=[[The Macmillan Company]]|location=New York, USA|page=5|access-date=2015-12-08|author-first1=Alfred Monroe|author-last1=Kenyon|author-first2=Louis|author-last2=Ingold}}</ref><ref name="Hudson_1917">{{cite book|url=https://books.google.com/books/about/A_Manual_of_Mathematics.html?id=-_0SAQAAMAAJ|title=A Manual of Mathematics|date=1917|publisher=[[John Wiley & sons]]|location=New York, USA|page=68|access-date=2015-12-08|author-first1=Ralph Gorton|author-last1=Hudson|author-first2=Joseph|author-last2=Lipka}}</ref><ref name="Weisstein_exsec">{{cite web|url=http://mathworld.wolfram.com/Exsecant.html|title=Exsecant|date=2015|publisher=[[Wolfram Research, Inc.]]|orig-year=2005|url-status=live|author-first=Eric W.|author-last=Weisstein|author-link=Eric W. Weisstein|work=[[MathWorld]]|archive-url=https://web.archive.org/web/20051129112840/http://mathworld.wolfram.com/Exsecant.html|archive-date=2005-11-29|access-date=2015-11-05}}</ref><ref name="Atlas_2009">{{cite book|title=An Atlas of Functions: with Equator, the Atlas Function Calculator|date=2009|publisher=[[Springer Science+Business Media, LLC]]|isbn=978-0-387-48806-6|edition=2|page=336|chapter=33.13. The Secant sec(x) and Cosecant csc(x) functions - Cognate functions|doi=10.1007/978-0-387-48807-3|lccn=2008937525|orig-year=1987|author-first1=Keith B.|author-last1=Oldham|author-first2=Jan C.|author-last2=Myland|author-first3=Jerome|author-last3=Spanier}}</ref>
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