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variants of this functions
ArcTan






Mathematica Notation

Traditional Notation









Elementary Functions >ArcTan[z]





Representations through equivalent functions

With inverse function

Involving tan-1(tan(z))

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Involving tan(tan-1(z))

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Involving tan-1(cot(z))

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With related functions

Involving log

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Involving sin-1

Involving tan-1(z)

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

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

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

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

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Involving tan-1(z) and sin-1(1/z2+11/2)

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

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

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

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Involving tan-1(z) and sin-1(z2/z2+11/2)

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Involving tan-1(z) and sin-1(((1+z2)1/2+1)1/2/(21/2(1+z2)1/4))

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Involving tan-1(z) and sin-1(((1+z2)1/2-1)1/2/(21/2(1+z2)1/4))

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

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

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Involving tan-1(z) and sin-1(((1+z2)1/2+z)1/2/(21/2(1+z2)1/4))

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Involving tan-1(z) and sin-1(((1+z2)1/2-z)1/2/(21/2(1+z2)1/4))

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

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

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Involving tan-1(z1/2)

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

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

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

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

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Involving tan-1(z1/2) and sin-1(1/z+11/2)

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

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

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Involving tan-1(z1/2) and sin-1(z/z+11/2)

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Involving tan-1(z1/2) and sin-1(((1+z)1/2+1)1/2/(21/2(1+z)1/4))

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Involving tan-1(z1/2) and sin-1(((1+z)1/2-1)1/2/(21/2(1+z)1/4))

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

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

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Involving tan-1(z1/2) and sin-1(((1+z)1/2+z1/2)1/2/(21/2(1+z)1/4))

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Involving tan-1(z1/2) and sin-1(((1+z)1/2-z1/2)1/2/(21/2(1+z)1/4))

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

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

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Involving tan-1(1/z1/2)

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

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

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

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

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

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

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

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Involving tan-1(1/z1/2) and sin-1(z/z+11/2)

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Involving tan-1(1/z1/2) and sin-1(((1+z)1/2+1)1/2/(21/2(1+z)1/4))

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Involving tan-1(1/z1/2) and sin-1(((1+z)1/2-1)1/2/(21/2(1+z)1/4))

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

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

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Involving tan-1(1/z1/2) and sin-1(((1+z)1/2+z1/2)1/2/(21/2(1+z)1/4))

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Involving tan-1(1/z1/2) and sin-1(((1+z)1/2-z1/2)1/2/(21/2(1+z)1/4))

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

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

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

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

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

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

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

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

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Involving tan-1(1/z-11/2)

Involving tan-1(1/z-11/2) and sin-1(1/z1/2)

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Involving tan-1(1/z-11/2) and sin-1(1/z1/2)

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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Involving tan-1(1/z2-11/2)

Involving tan-1(1/z2-11/2) and sin-1(1/z)

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Involving tan-1(zz2-1/z21/2)

Involving tan-1(zz2-1/z21/2) and sin-1(1/z)

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

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

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

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

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

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

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

Involving tan-1(z2/1-z21/2) and sin-1(z)

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

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

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

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

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

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

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

Involving tan-1(1-z2/z21/2) and sin-1(z)

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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Involving cos-1

Involving tan-1(z)

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

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

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

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

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Involving tan-1(z) and cos-1(1/z2+11/2)

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

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

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

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Involving tan-1(z) and cos-1(z2/z2+11/2)

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Involving tan-1(z) and cos-1(((1+z2)1/2+1)1/2/(21/2(1+z2)1/4))

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Involving tan-1(z) and cos-1(((1+z2)1/2-1)1/2/(21/2(1+z2)1/4))

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

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

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Involving tan-1(z) and cos-1(((1+z2)1/2+z)1/2/(21/2(1+z2)1/4))

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Involving tan-1(z) and cos-1(((1+z2)1/2-z)1/2/(21/2(1+z2)1/4))

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

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

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Involving tan-1(z1/2)

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

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

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

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

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Involving tan-1(z1/2) and cos-1(1/z+11/2)

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

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

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Involving tan-1(z1/2) and cos-1(z/z+11/2)

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Involving tan-1(z1/2) and cos-1(((1+z)1/2+1)1/2/(21/2(1+z)1/4))

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Involving tan-1(z1/2) and cos-1(((1+z)1/2-1)1/2/(21/2(1+z)1/4))

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

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

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Involving tan-1(z1/2) and cos-1(((1+z)1/2+z1/2)1/2/(21/2(1+z)1/4))

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Involving tan-1(z1/2) and cos-1(((1+z)1/2-z1/2)1/2/(21/2(1+z)1/4))

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

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

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Involving tan-1(1/z1/2)

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

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

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

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

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

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

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

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Involving tan-1(1/z1/2) and cos-1(z/z+11/2)

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Involving tan-1(1/z1/2) and cos-1(((1+z)1/2+1)1/2/(21/2(1+z)1/4))

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Involving tan-1(1/z1/2) and cos-1(((1+z)1/2-1)1/2/(21/2(1+z)1/4))

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

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

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Involving tan-1(1/z1/2) and cos-1(((1+z)1/2+z1/2)1/2/(21/2(1+z)1/4))

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Involving tan-1(1/z1/2) and cos-1(((1+z)1/2-z1/2)1/2/(21/2(1+z)1/4))

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

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

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

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

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

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

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

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

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Involving tan-1(1/z-11/2)

Involving tan-1(1/z-11/2) and cos-1(1/z1/2)

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Involving tan-1(1/z-11/2) and cos-1(1/z1/2)

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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Involving tan-1(1/z2-11/2)

Involving tan-1(1/z2-11/2) and cos-1(1/z)

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Involving tan-1(zz2-1/z21/2)

Involving tan-1(zz2-1/z21/2) and cos-1(1/z)

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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Involving cot-1

Involving tan-1(z)

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

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

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Involving tan-1(1/z)

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

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Involving tan-1(z1/2)

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

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

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

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

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Involving tan-1(1/z1/2)

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

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

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

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

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

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

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

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

Involving tan-1(a (b zc)m) and cot-1(1/a b-m z-m c)

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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Involving csc-1

Involving tan-1(z)

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

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

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

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

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

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

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

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Involving tan-1(z) and csc-1(z2+1/z21/2)

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Involving tan-1(z) and csc-1(21/2(1+z2)1/4/((1+z2)1/2+1)1/2)

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Involving tan-1(z) and csc-1(21/2(1+z2)1/4/((1+z2)1/2-1)1/2)

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

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

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Involving tan-1(z) and csc-1(21/2(1+z2)1/4/((1+z2)1/2+z)1/2)

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Involving tan-1(z) and csc-1(21/2(1+z2)1/4/((1+z2)1/2-z)1/2)

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

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

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Involving tan-1(z1/2)

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

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

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

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

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

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

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

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Involving tan-1(z1/2) and csc-1(21/2(1+z)1/4/((z+1)1/2+1)1/2)

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Involving tan-1(z1/2) and csc-1(21/2(1+z)1/4/((z+1)1/2-1)1/2)

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

>

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

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Involving tan-1(z1/2) and csc-1(21/2(1+z)1/4/((1+z)1/2+z1/2)1/2)

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Involving tan-1(z1/2) and csc-1(21/2(1+z)1/4/((1+z)1/2-z1/2)1/2)

>

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

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

>

Involving tan-1(1/z1/2)

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

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

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

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

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

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

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

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Involving tan-1(1/z1/2) and csc-1(21/2(1+z)1/4/((1+z)1/2+1)1/2)

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Involving tan-1(1/z1/2) and csc-1(21/2(1+z)1/4/((1+z)1/2-1)1/2)

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

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

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Involving tan-1(1/z1/2) and csc-1(21/2(1+z)1/4/((1+z)1/2+z1/2)1/2)

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Involving tan-1(1/z1/2) and csc-1(21/2(1+z)1/4/((1+z)1/2-z1/2)1/2)

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

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

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

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

>

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

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

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Involving tan-1(1/z-11/2)

Involving tan-1(1/z-11/2) and csc-1(z1/2)

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

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

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

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

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

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

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

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

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

>

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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Involving tan-1(1/z2-11/2)

Involving tan-1(1/z2-11/2) and csc-1(z)

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Involving tan-1(zz2-1/z21/2)

Involving tan-1(zz2-1/z21/2) and csc-1(z)

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

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

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

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

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

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

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

Involving tan-1(z2/1-z21/2) and csc-1(1/z)

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

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

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

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

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

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

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

Involving tan-1(1-z2/z21/2) and csc-1(1/z)

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

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

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

>

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

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

>

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

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

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

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

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

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

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

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

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

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Involving sec-1

Involving tan-1(z)

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

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

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

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

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

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

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

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Involving tan-1(z) and sec-1(z2+1/z21/2)

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Involving tan-1(z) and sec-1(21/2(1+z2)1/4/((1+z2)1/2+1)1/2)

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Involving tan-1(z) and sec-1(21/2(1+z2)1/4/((1+z2)1/2-1)1/2)

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

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

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Involving tan-1(z) and sec-1(21/2(1+z2)1/4/((1+z2)1/2+z)1/2)

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Involving tan-1(z) and sec-1(21/2(1+z2)1/4/((1+z2)1/2-z)1/2)

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

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

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Involving tan-1(z1/2)

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

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

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

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

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

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

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

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Involving tan-1(z1/2) and sec-1(21/2(1+z)1/4/((z+1)1/2+1)1/2)

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Involving tan-1(z1/2) and sec-1(21/2(1+z)1/4/((z+1)1/2-1)1/2)

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

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

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Involving tan-1(z1/2) and sec-1(21/2 z+14/((1+z)1/2+z1/2)1/2)

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Involving tan-1(z1/2) and sec-1(21/2 z+14/((1+z)1/2-z1/2)1/2)

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

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

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Involving tan-1(1/z1/2)

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

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

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

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

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

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

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

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Involving tan-1(1/z1/2) and sec-1(21/2(1+z)1/4/((1+z)1/2+1)1/2)

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Involving tan-1(1/z1/2) and sec-1(21/2(1+z)1/4/((1+z)1/2-1)1/2)

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

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

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Involving tan-1(1/z1/2) and sec-1(21/2(1+z)1/4/((1+z)1/2+z1/2)1/2)

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Involving tan-1(1/z1/2) and sec-1(21/2(1+z)1/4/((1+z)1/2-z1/2)1/2)

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

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

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

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

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

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

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Involving tan-1(1/z-11/2)

Involving tan-1(1/z-11/2) and sec-1(z1/2)

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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Involving tan-1(1/z2-11/2)

Involving tan-1(1/z2-11/2) and sec-1(z)

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Involving tan-1(zz2-1/z21/2)

Involving tan-1(zz2-1/z21/2) and sec-1(z)

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

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

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

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

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

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

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

Involving tan-1(z2/1-z21/2) and sec-1(1/z)

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

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

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

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

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

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

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

Involving tan-1(1-z2/z21/2) and sec-1(1/z)

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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Involving sinh-1

Involving tan-1(z)

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

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

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

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

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

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

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Involving tan-1(z) and sinh-1((1-(1+z2)1/2)1/2/(21/2(1+z2)1/4))

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

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Involving tan-1(z) and sinh-1((z-(1+z2)1/2)1/2/(21/2(1+z2)1/4))

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

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Involving tan-1(z1/2)

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

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

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

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

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

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

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Involving tan-1(z1/2) and sinh-1((1-(1+z)1/2)1/2/(21/2(1+z)1/4))

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

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Involving tan-1(z1/2) and sinh-1((z1/2-(1+z)1/2)1/2/(21/2(1+z)1/4))

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

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Involving tan-1(1/z1/2)

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

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

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

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

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

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

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Involving tan-1(1/z1/2) and sinh-1((1-(1+z)1/2)1/2/(21/2(1+z)1/4))

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

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Involving tan-1(1/z1/2) and sinh-1((z1/2-(1+z)1/2)1/2/(21/2(1+z)1/4))

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

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

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

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

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

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

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

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Involving tan-1(1/z-11/2)

Involving tan-1(1/z-11/2) and sinh-1(1/(-z)1/2)

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Involving tan-1(1/z-11/2) and sinh-1((-1/z)1/2)

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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