hyperbolic cosine (Q1253682)

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hyperbolic function

• cosh

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Language	Label	Description	Also known as
English	hyperbolic cosine	hyperbolic function	cosh

Statements

instance of

hyperbolic function

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even function

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part of

hyperbolic sine and hyperbolic cosine

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image

Cosh.svg
460 × 425; 42 KB

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defining formula

${\displaystyle \cosh x={\frac {\mathrm {e} ^{x}+\mathrm {e} ^{-x}}{2}}}$

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${\displaystyle \cosh ^{2}x=\sinh ^{2}x+1}$

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stated in

ISO 80000-2:2019 Quantities and units — Part 2: Mathematics

section, verse, paragraph, or clause

2-14.15

in defining formula

${\displaystyle \cosh x}$

symbol represents

hyperbolic cosine

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${\displaystyle \sinh x}$

symbol represents

hyperbolic sine

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described by source

ISO 80000-2:2019 Quantities and units — Part 2: Mathematics

section, verse, paragraph, or clause

2-14.15

subject named as

hyperbolic cosine of x

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maintained by WikiProject

WikiProject Mathematics

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mathematical inverse

inverse hyperbolic cosine

relative to

function composition

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power series expansion

${\displaystyle \operatorname {cosh} (x)=\sum _{n=0}^{\infty }{\frac {x^{2n}}{(2n)!}}=1+{\frac {x^{2}}{2!}}+{\frac {x^{4}}{4!}}+\cdots }$

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opposite of

hyperbolic secant

criterion used

multiplicative inverse

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Identifiers

Elhuyar ZTH ID

133669

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Google Knowledge Graph ID

/g/121_4_lb

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MathWorld ID

HyperbolicCosine

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imported from Wikimedia project

Spanish Wikipedia

Metamath statement ID

df-cosh

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OpenMath ID

transc1#cosh

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ProofWiki ID

Definition:Hyperbolic_Cosine

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Quora topic ID

Hyperbolic-Cosine

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stated in

Quora

ScienceDirect topic ID

computer-science/hyperbolic-cosine

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Sitelinks

Wikipedia(14 entries)

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• arwiki دالة جيب التمام الزائدية
• cswiki Hyperbolický kosinus
• dewiki Kosinus Hyperbolicus
• enwiki Hyperbolic cosine
• eswiki Coseno hiperbólico
• euwiki Kosinu hiperboliko
• frwiki Cosinus hyperbolique
• jawiki 双曲線余弦函数
• kmwiki កូស៊ីនុសអ៊ីពែបូលីក
• mkwiki Хиперболичен косинус
• ptwiki Cosseno hiperbólico
• shwiki Kosinus hiperbolični
• srwiki Косинус хиперболични
• zhwiki 雙曲餘弦

Wikibooks(0 entries)

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Wikinews(0 entries)

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Wikisource(0 entries)

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Wikiversity(0 entries)

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Wikivoyage(0 entries)

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Wiktionary(0 entries)

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Multilingual sites(0 entries)

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