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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)

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Involving cosh-1(cz)

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

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

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

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

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

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

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Involving cosh-1(1-2z2)

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

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Involving cosh-1(2z2-1)

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

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Involving cosh-1(z2-2/z2)

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

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Involving cosh-1(2-z2/z2)

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

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

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

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

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

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

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

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

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

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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)

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

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

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

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

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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)

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

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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)

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

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

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

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

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

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

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

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

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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)

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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)

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

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

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

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

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

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

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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)

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

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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)

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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)

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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)

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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)

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Products, sums, and powers of the direct function

Sums of the direct function

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Differences of the direct function

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Linear combinations of the direct function

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Related transformations

Sums involving the direct function

Involving log(z)

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Involving sin-1(z)

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Involving cos-1(z)

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Involving tan-1(z)

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Involving cot-1(z)

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Involving csc-1(z)

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Involving sec-1(z)

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Involving sinh-1(z)

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Involving tanh-1(z)

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Involving coth-1(z)

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Involving csch-1(z)

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Involving sech-1(z)

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Differences involving the direct function

Involving log(z)

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Involving sin-1(z)

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Involving cos-1(z)

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Involving tan-1(z)

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Involving cot-1(z)

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Involving csc-1(z)

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Involving sec-1(z)

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Involving sinh-1(z)

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Involving tanh-1(z)

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Involving coth-1(z)

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Involving csch-1(z)

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Involving sech-1(z)

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Linear combinations involving the direct function

Involving log(z)

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Involving sin-1(z)

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Involving cos-1(z)

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Involving tan-1(z)

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Involving cot-1(z)

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Involving csc-1(z)

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Involving sec-1(z)

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Involving sinh-1(z)

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Involving tanh-1(z)

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Involving coth-1(z)

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Involving csch-1(z)

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Involving sech-1(z)

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