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variants of this functions
ArcTan






Mathematica Notation

Traditional Notation









Elementary Functions >ArcTan[z]





Transformations

Transformations and argument simplifications

Argument involving basic arithmetic operations

Involving tan-1(- z)

Involving tan-1(-z) and tan-1(z)

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Involving tan-1(1/z)

Involving tan-1(1/z) and tan-1(z)

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Involving tan-1(z1/2)

Involving tan-1(z1/2) and tan-1(1/z1/2)

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Involving tan-1(z1/2) and tan-1(1/z1/2)

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Involving tan-1(z1/2) and tan-1(1/1/z1/2)

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Involving tan-1(z1/2)

Involving tan-1(1/z1/2) and tan-1(z1/2)

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

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

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

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

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

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Involving tan-1(1-z/1+z)

Involving tan-1(1-z/1+z) and tan-1(z)

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Involving tan-1(1-z/1+z) and tan-1(1/z)

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Involving tan-1(z-1/z+1)

Involving tan-1(z-1/z+1) and tan-1(z)

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Involving tan-1(z-1/z+1) and tan-1(1/z)

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Involving tan-1(1+z/1-z)

Involving tan-1(1+z/1-z) and tan-1(z)

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Involving tan-1(1+z/1-z) and tan-1(1/z)

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Involving tan-1(z+1/z-1)

Involving tan-1(z+1/z-1) and tan-1(z)

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Involving tan-1(z+1/z-1) and tan-1(1/z)

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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Involving tan-1((1+z2)1/2+c z)

Involving tan-1((1+z2)1/2+z) and tan-1(z)

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Involving tan-1((1+z2)1/2+z) and tan-1(1/z)

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Involving tan-1((1+z2)1/2-z) and tan-1(z)

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Involving tan-1((1+z2)1/2-z) and tan-1(1/z)

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Involving tan-1(1/(1+z2)1/2+c z)

Involving tan-1(1/(1+z2)1/2+z) and tan-1(z)

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Involving tan-1(1/(1+z2)1/2+z) and tan-1(1/z)

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Involving tan-1(1/(1+z2)1/2-z) and tan-1(z)

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Involving tan-1(1/(1+z2)1/2-z) and tan-1(1/z)

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Involving tan-1((1+z2)1/2+a/z)

Involving tan-1((1+z2)1/2+1/z) and tan-1(z)

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Involving tan-1((1+z2)1/2+1/z) and tan-1(1/z)

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Involving tan-1((1+z2)1/2-1/z) and tan-1(z)

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Involving tan-1((1+z2)1/2-1/z) and tan-1(1/z)

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Involving tan-1(z/(1+z2)1/2+a)

Involving tan-1(z/(1+z2)1/2+1) and tan-1(z)

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Involving tan-1(z/(1+z2)1/2+1) and tan-1(1/z)

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Involving tan-1(z/(1+z2)1/2-1) and tan-1(z)

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Involving tan-1(z/(1+z2)1/2-1) and tan-1(1/z)

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Power of arguments

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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 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 cosh-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 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 cosh-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 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 cosh-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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