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ArcCos






Mathematica Notation

Traditional Notation









Elementary Functions > ArcCos[z] > Transformations





Transformations and argument simplifications

Argument involving basic arithmetic operations

Involving cos-1(- z)

Involving cos-1(-z) and cos-1(z)

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Involving cos-1(cz)

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

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

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

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

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

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

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Involving cos-1(1-2z2)

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

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Involving cos-1(2z2-1)

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

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Involving cos-1(z2-2/z2)

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

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Involving cos-1(2-z2/z2)

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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Involving cos-1((z+a)1/2/(2 z)1/2)

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

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

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

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

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

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Involving cos-1(z+a/2 z1/2)

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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Involving cos-1(c z-r (-1+z2 r/c2)1/2)

Involving cos-1(c z-r (-1+z2 r/c2)1/2) and cos-1(c/zr)

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