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 z^c)^m)

Involving cosh^-1(a (b z^c)^m) and cosh^-1(a b^m z^{m 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(z^1/2)

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

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

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

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

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

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

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

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

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

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

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

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

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 z^1/2)

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

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

Involving cosh^-1(z²-1/z^21/2) 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)