html, body, form { margin: 0; padding: 0; width: 100%; } #calculate { position: relative; width: 177px; height: 110px; background: transparent url(/images/alphabox/embed_functions_inside.gif) no-repeat scroll 0 0; } #i { position: relative; left: 18px; top: 44px; width: 133px; border: 0 none; outline: 0; font-size: 11px; } #eq { width: 9px; height: 10px; background: transparent; position: absolute; top: 47px; right: 18px; cursor: pointer; }

 ArcCos

Transformations and argument simplifications

Argument involving basic arithmetic operations

Involving cos-1(- z)

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

Involving cos-1(cz)

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

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

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

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

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

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

Involving cos-1(1-2z2)

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

Involving cos-1(2z2-1)

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

Involving cos-1(z2-2/z2)

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

Involving cos-1(2-z2/z2)

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

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

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

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

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

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

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

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

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

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)

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

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

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

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

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)

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

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)

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

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

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

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

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

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

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

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

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)

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)

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

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

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

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

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

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

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)

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

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)

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)

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)

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)

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)