Wolfram Researchfunctions.wolfram.comOther Wolfram Sites
Search Site
Function CategoriesGraphics GalleryNotationsGeneral IdentitiesAbout This Site Email Comments

View Related Information In
The Documentation Center
MathWorld

Download All Formulas For This Function
Mathematica Notebook
PDF File

 

Developed with Mathematica -- Download a Free Trial Version
 











ArcCosh






Mathematica Notation

Traditional Notation









Elementary Functions >ArcCosh[z]





Transformations

Transformations and argument simplifications

Argument involving basic arithmetic operations

Involving cosh-1(- z)

Involving cosh-1(-z) and cosh-1(z)

>
>
>

Involving cosh-1(cz)

Involving cosh-1(i z) and cosh-1(1+2 z2)

>
>
>
>

Involving cosh-1(-i z) and cosh-1(1+2 z2)

>
>
>
>

Involving cosh-1((z2)1/2)

Involving cosh-1((z2)1/2) and cosh-1(z)

>
>
>
>
>

Involving cosh-1(a (b zc)m)

Involving cosh-1(a (b zc)m) and cosh-1(a bm zm c)

>

Involving cosh-1(1-2z2)

Involving cosh-1(1-2 z2) and cosh-1(z)

>
>
>
>

Involving cosh-1(2z2-1)

Involving cosh-1(2 z2-1) and cosh-1(z)

>
>
>
>
>

Involving cosh-1(z2-2/z2)

Involving cosh-1(z2-2/z2) and cosh-1(1/z)

>
>
>
>

Involving cosh-1(2-z2/z2)

Involving cosh-1(2-z2/z2) and cosh-1(1/z)

>
>
>
>
>

Involving cosh-1((1-z)1/2)

Involving cosh-1((1-z)1/2) and cosh-1(z1/2)

>
>
>
>

Involving cosh -1(1+c z/21/2)

Involving cosh-1(1+z/21/2) and cosh-1(z)

>

Involving cosh-1(1-z/21/2) and cosh-1(z)

>
>
>
>

Involving cosh-1((z-1)1/2/z1/2)

Involving cosh-1((z-1)1/2/z1/2) and cosh-1(1/z1/2)

>
>
>
>

Involving cosh-1((z-1)1/2/z1/2) and cosh-1(1/z1/2)

>
>
>
>

Involving cosh-1((1-z)1/2/(-z)1/2)

Involving cosh-1((1-z)1/2/(-z)1/2) and cosh-1(1/z1/2)

>
>
>
>

Involving cosh-1((1-z)1/2/(-z)1/2) and cosh-1(1/z1/2)

>
>
>
>

Involving cosh-1(z-1/z1/2)

Involving cosh-1(z-1/z1/2) and cosh-1(1/z1/2)

>
>
>
>

Involving cosh-1(z-1/z1/2) and cosh-1(1/z1/2)

>
>
>
>

Involving cosh-1((z+c)1/2/(2 z)1/2)

Involving cosh-1((z-1)1/2/(2 z)1/2) and cosh-1(1/z)

>
>
>
>

Involving cosh-1((z+1)1/2/(2 z)1/2) and cosh-1(1/z)

>
>
>

Involving cosh-1((a-z)1/2/(-2 z)1/2)

Involving cosh-1((-z-1)1/2/(-2 z)1/2) and cosh-1(1/z)

>

Involving cosh-1((1-z)1/2/(-2 z)1/2) and cosh-1(1/z)

>
>
>
>

Involving cosh-1(z+c/2 z1/2)

Involving cosh-1(z-1/2 z1/2) and cosh-1(1/z)

>
>
>
>

Involving cosh-1(z+1/2 z1/2) and cosh-1(1/z)

>

Involving cosh-1((1-z2)1/2)

Involving cosh-1((1-z2)1/2) and cosh-1(z)

>
>
>
>

Involving cosh-1((z2-1)1/2/z)

Involving cosh-1((z2-1)1/2/z) and cosh-1(1/z)

>
>
>
>
>
>
>

Involving cosh-1((z2-1)1/2/(z2)1/2)

Involving cosh-1((z2-1)1/2/(z2)1/2) and cosh-1(1/z)

>
>
>
>

Involving cosh-1((1-z2)1/2/(-z2)1/2)

Involving cosh-1((1-z2)1/2/(-z2)1/2) and cosh-1(1/z)

>
>
>
>
>

Involving cosh-1(z2-1/z21/2)

Involving cosh-1(z2-1/z21/2) and cosh-1(1/z)

>
>
>
>

Involving cosh-1(2 z (1-z2)1/2)

Involving cosh-1(2 z (1-z2)1/2) and cosh-1(z)

>
>
>
>

Involving cosh-1(2 (-1+z2)1/2/z2)

Involving cosh-1(2 (z2-1)1/2/z2) and cosh-1(1/z)

>
>
>
>
>

Involving cosh-1(((1-(1+c z2)1/2)/2)1/2)

Involving cosh-1(((1-(1+z2)1/2)/2)1/2) and cosh-1(i z)

>
>
>
>
>
>

Involving cosh-1(((1-(1-z2)1/2)/2)1/2) and cosh-1(z)

>
>
>
>
>
>

Involving cosh-1(z (1-(1-z2)1/2)1/2/(2z2)1/2)

Involving cosh-1(z (1-(1-z2)1/2)1/2/(2z2)1/2) and cosh-1(z)

>
>
>

Involving cosh-1(z ((1-(1-z2)1/2)/(2z2))1/2)

Involving cosh-1(z ((1-(1-z2)1/2)/(2z2))1/2) and cosh-1(z)

>
>
>

Involving cosh-1((z-(z2-1)1/2)1/2/(2z)1/2)

Involving cosh-1((z-(z2-1)1/2)1/2/(2z)1/2) and cosh-1(1/z)

>
>
>
>

Involving cosh-1(((z-(z2-1)1/2)/(2z))1/2)

Involving cosh-1(((z-(z2-1)1/2)/(2z))1/2) and cosh-1(1/z)

>
>
>

Products, sums, and powers of the direct function

Sums of the direct function

>
>
>
>
>

Differences of the direct function

>
>
>
>
>

Linear combinations of the direct function

>
>

Related transformations

Sums involving the direct function

Involving log(z)

>
>

Involving sin-1(z)

>
>
>

Involving cos-1(z)

>
>
>

Involving tan-1(z)

>
>
>

Involving cot-1(z)

>
>
>

Involving csc-1(z)

>
>
>

Involving sec-1(z)

>
>
>

Involving sinh-1(z)

>
>
>
>

Involving tanh-1(z)

>

Involving coth-1(z)

>

Involving csch-1(z)

>

Involving sech-1(z)

>

Differences involving the direct function

Involving log(z)

>
>

Involving sin-1(z)

>
>
>

Involving cos-1(z)

>
>
>

Involving tan-1(z)

>
>
>

Involving cot-1(z)

>
>
>

Involving csc-1(z)

>
>
>

Involving sec-1(z)

>
>
>

Involving sinh-1(z)

>
>
>
>

Involving tanh-1(z)

>

Involving coth-1(z)

>

Involving csch-1(z)

>

Involving sech-1(z)

>

Linear combinations involving the direct function

Involving log(z)

>
>

Involving sin-1(z)

>
>

Involving cos-1(z)

>
>

Involving tan-1(z)

>
>

Involving cot-1(z)

>
>

Involving csc-1(z)

>
>

Involving sec-1(z)

>
>

Involving sinh-1(z)

>
>

Involving tanh-1(z)

>
>

Involving coth-1(z)

>
>

Involving csch-1(z)

>
>

Involving sech-1(z)

>
>