secant
ratio of the hypotenuse of a triangle to the adjacent side of an angle
Facts
9 properties- Part of
- secant and cosecant[4]
- Defining formula
- \sec x = \frac{1}{\cos x}
- In defining formula
- \sec x, \cos x
- Maintained by WikiProject
- WikiProject Mathematics[8]
- Mathematical inverse
- arcus secant, cosine[9][10]
- Power series expansion
- \sec x = \sum_{n=0}^\infty \frac{U_{2n}}{(2n)!}x^{2n}= \sum_{n=0}^\infty \frac{(-1)^n E_{2n}}{(2n)!}x^{2n} = 1 + \frac{1}{2}x^2 + \frac{5}{24}x^4 + \frac{61}{720}x^6 + \cdots, \qquad \text{for } |x| < \frac{\pi}{2}.
- TeX string
- \sec[7]
🏷️ Also known as
en secant function
en secant
en sec
en sec function
ar قاطع
ar قا
ar قاطع الزاوية
cs sekans
cs secans
cs sec
de sec
el τέμνουσα
es secante
es sec
fa سکانت
fi sec
fi sekantti
fi sekanttifunktio
fr sec
fr sécante
🔖 Identifiers · 23
- Image (Wikimedia Commons)
- Secant.svg ↗
- Australian Educational Vocabulary ID
- scot/15167
- BabelNet ID
- 14951687n
- De Agostini ID
- secànte
- Described at URL
- mathisonian.github.io
- Digital Library of Mathematical Functions ID
- 4.14.E6
- Encyclopedia of Mathematics article ID
- Secant
- Encyclopædia Britannica Online ID
- topic/secant
- Google Knowledge Graph ID
- /g/122_9g0s
- Great Russian Encyclopedia Online ID (2017)
- 3545771
- Great Russian Encyclopedia portal ID
- sekans-3e60bf
Show all 23 identifiers +11
- JSTOR topic ID (archived)
- secant-function
- Lex ID
- secans
- Lexikon der Mathematik entry ID
- 9668
- MathWorld ID
- Secant
- Metamath statement ID
- df-sec
- Proleksis enciklopedija ID
- 58448
- ProofWiki ID
- Definition:Secant_Function
- Treccani ID
- secante
- Treccani Vocabulary ID
- secante
- Treccani's Dizionario delle Scienze Fisiche ID
- secante
- Treccani's Enciclopedia della Matematica ID
- secante
🔗 Connections
Instance of 3
Maintained by WikiProject 1
Mathematical inverse 1
Opposite of 1
Part of 1
← Mathematical inverse 1
← Opposite of 1
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Summary
secant is a trigonometric function[1].