Inverse tangent: Representations through equivalent functions (subsection 27/02)

ArcTan

$Mathematica Notation$

Elementary Functions

ArcTan[z]

Representations through equivalent functions

With related functions

Involving log

Involving sin^-1

Involving tan^-1(z)

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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)

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

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)

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

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

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

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

Involving tan^-1((z²-1)^1/2)

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

Involving tan^-1(1/(z²-1)^1/2)

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

Involving tan^-1(1/z²-1^1/2)

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

Involving tan^-1(zz²-1/z²^1/2)

Involving tan^-1(zz²-1/z²^1/2) and sin^-1(1/z)

Involving tan^-1(z/(1-z²)^1/2)

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

Involving tan^-1((z₂)^1/2/(1-z²)^1/2)

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

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

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

Involving tan^-1(z²/1-z²^1/2)

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

Involving tan^-1((1-z²)^1/2/z)

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

Involving tan^-1((1-z²)^1/2/(z₂)^1/2)

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

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

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

Involving tan^-1(1-z²/z²^1/2)

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

Involving tan^-1(1+c (1-z²)^1/2/z)

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

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

Involving tan^-1(z/1+c(1-z²)^1/2)

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

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

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)

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)

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)

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)

Involving cos^-1

Involving tan^-1(z)

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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)

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

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)

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

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

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

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

Involving tan^-1((z²-1)^1/2)

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

Involving tan^-1(1/(z²-1)^1/2)

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

Involving tan^-1(1/z²-1^1/2)

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

Involving tan^-1(zz²-1/z²^1/2)

Involving tan^-1(zz²-1/z²^1/2) and cos^-1(1/z)

Involving tan^-1(z/(1-z²)^1/2)

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

Involving tan^-1((z₂)^1/2/(1-z²)^1/2)

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

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

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

Involving tan^-1(z²/1-z²^1/2)

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

Involving tan^-1((1-z²)^1/2/z)

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

Involving tan^-1((1-z²)^1/2/(z₂)^1/2)

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

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

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

Involving tan^-1(1-z²/z²^1/2)

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

Involving tan^-1(1+c (1-z²)^1/2/z)

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

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

Involving tan^-1(z/1+c(1-z²)^1/2)

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

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

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)

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)

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)

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)

Involving cot^-1

Involving tan^-1(z)

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

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

Involving tan^-1(1/z)

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

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

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

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

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

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

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

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

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

Involving tan^-1((z₂)^1/2)

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

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

Involving tan^-1(a (b z^c)^m)

Involving tan^-1(a (b z^c)^m) and cot^-1(1/a b^-m z^{-m c})

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

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

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

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

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

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

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

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

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

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

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

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

Involving tan^-1(2z/1-z²)

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

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

Involving tan^-1(2z/z²-1)

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

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

Involving tan^-1(1-z²/2 z)

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

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

Involving tan^-1(z²-1/2 z)

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

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

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

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

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

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

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

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

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

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

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

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

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

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

Involving tan^-1((1+z²)^1/2+c z)

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

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

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

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

Involving tan^-1(1/(1+z²)^1/2+c z)

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

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

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

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

Involving tan^-1((1+z²)^1/2+a/z)

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

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

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

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

Involving tan^-1(z/(1+z²)^1/2+a)

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

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

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

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

Involving csc^-1

Involving tan^-1(z)

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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)

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

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)

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

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

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

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

Involving tan^-1((z²-1)^1/2)

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

Involving tan^-1(1/(z²-1)^1/2)

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

Involving tan^-1(1/z²-1^1/2)

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

Involving tan^-1(zz²-1/z²^1/2)

Involving tan^-1(zz²-1/z²^1/2) and csc^-1(z)

Involving tan^-1(z/(1-z²)^1/2)

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

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)

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)

Involving tan^-1(z²/1-z²^1/2)

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

Involving tan^-1((1-z²)^1/2/z)

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

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)

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)

Involving tan^-1(1-z²/z²^1/2)

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

Involving tan^-1(1+c (1-z²)^1/2/z)

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

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)

Involving tan^-1(2 (z²-1)^1/2/-2+z²)

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

Involving tan^-1(-2+z²/2 (z²-1)^1/2)

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

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)

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)

Involving sec^-1

Involving tan^-1(z)

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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)

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

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)

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

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

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

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

Involving tan^-1((z²-1)^1/2)

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

Involving tan^-1(1/(z²-1)^1/2)

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

Involving tan^-1(1/z²-1^1/2)

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

Involving tan^-1(zz²-1/z²^1/2)

Involving tan^-1(zz²-1/z²^1/2) and sec^-1(z)

Involving tan^-1(z/(1-z²)^1/2)

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

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)

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)

Involving tan^-1(z²/1-z²^1/2)

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

Involving tan^-1((1-z²)^1/2/z)

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

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)

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)

Involving tan^-1(1-z²/z²^1/2)

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

Involving tan^-1(1+c (1-z²)^1/2/z)

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

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

Involving tan^-1(z/1+c(1-z²)^1/2)

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

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

Involving tan^-1(2 (z²-1)^1/2/-2+z²)

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

Involving tan^-1(-2+z²/2 (z²-1)^1/2)

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

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)

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)

Involving sinh^-1

Involving tan^-1(z)

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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)

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

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

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

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

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)

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

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

Involving tan^-1((-z²-1)^1/2)

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

Involving tan^-1(1/(-z²-1)^1/2)

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

Involving tan^-1((-1/z²+1)^1/2)

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

Involving tan^-1(z/(-z²-1)^1/2)

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

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

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

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

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

Involving tan^-1((-z²/1+z²)^1/2)

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

Involving tan^-1((-z²-1)^1/2/z)

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

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

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

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

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

Involving tan^-1((-1+z²/z²)^1/2)

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

Involving cosh^-1

Involving tan^-1(z)

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

Involving tan^-1(z) and cosh^-1(1-z²/1+z²)

Involving tan^-1(z) and cosh^-1(z²-1/z²+1)

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

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

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

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

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

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

Involving tan^-1(z) and cosh^-1(((1+z²)^1/2+1)^1/2/(2^1/2(1+z²)^1/4))

Involving tan^-1(z) and cosh^-1(((1+z²)^1/2-1)^1/2/(2^1/2(1+z²)^1/4))

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

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

Involving tan^-1(z) and cosh^-1(((1+z²)^1/2+z)^1/2/(2^1/2(1+z²)^1/4))

Involving tan^-1(z) and cosh^-1(((1+z²)^1/2-z)^1/2/(2^1/2(1+z²)^1/4))

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

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

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

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

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

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

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

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

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

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

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

Involving tan^-1(z^1/2) and cosh^-1(((1+z)^1/2+1)^1/2/(2^1/2(1+z)^1/4))

Involving tan^-1(z^1/2) and cosh^-1(((1+z)^1/2-1)^1/2/(2^1/2(1+z)^1/4))

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

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

Involving tan^-1(z^1/2) and cosh^-1(((1+z)^1/2+z^1/2)^1/2/(2^1/2(1+z)^1/4))

Involving tan^-1(z^1/2) and cosh^-1(((1+z)^1/2-z^1/2)^1/2/(2^1/2(1+z)^1/4))

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

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

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

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

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

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

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

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

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

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

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

Involving tan^-1(1/z^1/2) and cosh^-1(((1+z)^1/2+1)^1/2/(2^1/2(1+z)^1/4))

Involving tan^-1(1/z^1/2) and cosh^-1(((1+z)^1/2-1)^1/2/(2^1/2(1+z)^1/4))

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

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

Involving tan^-1(1/z^1/2) and cosh^-1(((1+z)^1/2+z^1/2)^1/2/(2^1/2(1+z)^1/4))

Involving tan^-1(1/z^1/2) and cosh^-1(((1+z)^1/2-z^1/2)^1/2/(2^1/2(1+z)^1/4))

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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 cosh^-1(z)

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

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 cosh^-1(z)

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

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

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

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

Involving tan^-1((z²-1)^1/2)

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

Involving tan^-1(1/(z²-1)^1/2)

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

Involving tan^-1(1/z²-1^1/2)

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

Involving tan^-1(zz²-1/z²^1/2)

Involving tan^-1(zz²-1/z²^1/2) and cosh^-1(1/z)

Involving tan^-1(z/(1-z²)^1/2)

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

Involving tan^-1((z₂)^1/2/(1-z²)^1/2)

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

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

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

Involving tan^-1(z²/1-z²^1/2)

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

Involving tan^-1((-z²-1)^1/2/z)

Involving tan^-1((-z²-1)^1/2/z) and cosh^-1(i z)

Involving tan^-1((1-z²)^1/2/(z₂)^1/2)

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

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

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

Involving tan^-1(1-z²/z²^1/2)

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

Involving tanh^-1

Involving tan^-1(z)

Involving tan^-1(z) and tanh^-1(i z)

Involving tan^-1(z) and tanh^-1(i/z)

Involving tan^-1(i z)

Involving tan^-1(i z) and tanh^-1(z)

Involving tan^-1(i z) and tanh^-1(1/z)

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

Involving tan^-1((-z)^1/2) and tanh^-1(z^1/2)

Involving tan^-1((-z)^1/2) and tanh^-1(1/z^1/2)

Involving tan^-1((-z)^1/2) and tanh^-1(1/1/z^1/2)

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

Involving tan^-1(1/(-z)^1/2) and tanh^-1(z^1/2)

Involving tan^-1(1/(-z)^1/2) and tanh^-1(1/z^1/2)

Involving tan^-1(1/(-z)^1/2) and tanh^-1(1/1/z^1/2)

Involving tan^-1((z₂)^1/2)

Involving tan^-1((z₂)^1/2) and tanh^-1(i z)

Involving tan^-1((z₂)^1/2) and tanh^-1(i/z)

Involving tan^-1(a (b z^c)^m)

Involving tan^-1(a (b z^c)^m) and tanh^-1(i a b^m z^{m c})

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

Involving tan^-1(1-z/1+z) and tanh^-1(i z)

Involving tan^-1(1-z/1+z) and tanh^-1(i/z)

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

Involving tan^-1(z-1/z+1) and tanh^-1(i z)

Involving tan^-1(z-1/z+1) and tanh^-1(i/z)

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

Involving tan^-1(1+z/1-z) and tanh^-1(i z)

Involving tan^-1(1+z/1-z) and tanh^-1(i/z)

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

Involving tan^-1(z+1/z-1) and tanh^-1(i z)

Involving tan^-1(z+1/z-1) and tanh^-1(i/z)

Involving tan^-1(2z/1-z²)

Involving tan^-1(2 z/1-z²) and tanh^-1(i z)

Involving tan^-1(2 z/1-z²) and tanh^-1(i/z)

Involving tan^-1(2 z/z²-1)

Involving tan^-1(2 z/z²-1) and tanh^-1(i z)

Involving tan^-1(2 z/z²-1) and tanh^-1(i/z)

Involving tan^-1(1-z²/2 z)

Involving tan^-1(1-z²/2 z) and tanh^-1(i z)

Involving tan^-1(1-z²/2 z) and tanh^-1(i/z)

Involving tan^-1(z²-1/2 z)

Involving tan^-1(z²-1/2 z) and tanh^-1(i z)

Involving tan^-1(z²-1/2 z) and tanh^-1(i/z)

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

Involving tan^-1(2(-z)^1/2/1+z) and tanh^-1(z^1/2)

Involving tan^-1(2(-z)^1/2/1+z) and tanh^-1(1/z^1/2)

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

Involving tan^-1(1+z/2 (-z)^1/2) and tanh^-1(z^1/2)

Involving tan^-1(1+z/2 (-z)^1/2) and tanh^-1(1/z^1/2)

Involving tan^-1((1+z²)^1/2+c z)

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

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

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

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

Involving tan^-1(1/(1+z²)^1/2+c z)

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

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

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

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

Involving tan^-1((1+z²)^1/2+a/z)

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

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

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

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

Involving tan^-1(z/(1+z²)^1/2+a)

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

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

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

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

Involving coth^-1

Involving tan^-1(z)

Involving tan^-1(z) and coth^-1(i z)

Involving tan^-1(z) and coth^-1(i/z)

Involving tan^-1(i z)

Involving tan^-1(i z) and coth^-1(z)

Involving tan^-1(i z) and coth^-1(1/z)

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

Involving tan^-1((-z)^1/2) and coth^-1(z^1/2)

Involving tan^-1((-z)^1/2) and coth^-1(1/z^1/2)

Involving tan^-1((-z)^1/2) and coth^-1(1/1/z^1/2)

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

Involving tan^-1(1/(-z)^1/2) and coth^-1(z^1/2)

Involving tan^-1(1/(-z)^1/2) and coth^-1(1/z^1/2)

Involving tan^-1(1/(-z)^1/2) and coth^-1(1/1/z^1/2)

Involving tan^-1((z₂)^1/2)

Involving tan^-1((z₂)^1/2) and coth^-1(i z)

Involving tan^-1((z₂)^1/2) and coth^-1(i/z)

Involving tan^-1(a (b z^c)^m)

Involving tan^-1(a (b z^c)^m) and coth^-1(i/a b^-m z^{-m c})

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

Involving tan^-1(1-z/1+z) and coth^-1(i z)

Involving tan^-1(1-z/1+z) and coth^-1(i/z)

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

Involving tan^-1(z-1/z+1) and coth^-1(i z)

Involving tan^-1(z-1/z+1) and coth^-1(i/z)

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

Involving tan^-1(1+z/1-z) and coth^-1(i z)

Involving tan^-1(1+z/1-z) and coth^-1(i/z)

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

Involving tan^-1(z+1/z-1) and coth^-1(i z)

Involving tan^-1(z+1/z-1) and coth^-1(i/z)

Involving tan^-1(2z/1-z²)

Involving tan^-1(2 z/1-z²) and coth^-1(i z)

Involving tan^-1(2 z/1-z²) and coth^-1(i/z)

Involving tan^-1(2z/z²-1)

Involving tan^-1(2z/z²-1) and coth^-1(i z)

Involving tan^-1(2z/z²-1) and coth^-1(i/z)

Involving tan^-1(1-z²/2 z)

Involving tan^-1(1-z²/2 z) and coth^-1(i z)

Involving tan^-1(1-z²/2 z) and coth^-1(i/z)

Involving tan^-1(z²-1/2 z)

Involving tan^-1(z²-1/2 z) and coth^-1(i z)

Involving tan^-1(z²-1/2 z) and coth^-1(i/z)

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

Involving tan^-1(2(-z)^1/2/1+z) and coth^-1(z^1/2)

Involving tan^-1(2(-z)^1/2/1+z) and coth^-1(1/z^1/2)

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

Involving tan^-1(1+z/2 (-z)^1/2) and coth^-1(z^1/2)

Involving tan^-1(1+z/2 (-z)^1/2) and coth^-1(1/z^1/2)

Involving tan^-1((1+z²)^1/2+c z)

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

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

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

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

Involving tan^-1(1/(1+z²)^1/2+c z)

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

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

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

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

Involving tan^-1((1+z²)^1/2+a/z)

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

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

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

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

Involving tan^-1(z/(1+z²)^1/2+a)

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

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

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

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

Involving csch^-1

Involving tan^-1(z)

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

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

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

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

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

Involving tan^-1(z) and csch^-1(2^1/2(1+z²)^1/4/(1-(1+z²)^1/2)^1/2)

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

Involving tan^-1(z) and csch^-1(2^1/2(1+z²)^1/4/(z-(1+z²)^1/2)^1/2)

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

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

Involving tan^-1(z^1/2) and csch^-1(1+z/2 (-z)^1/2)

Involving tan^-1(z^1/2) and csch^-1((-z-1)^1/2)

Involving tan^-1(z^1/2) and csch^-1((1+z)^1/2/(-z)^1/2)

Involving tan^-1(z^1/2) and csch^-1((-1-z)^1/2/z^1/2)

Involving tan^-1(z^1/2) and csch^-1((-z+1/z)^1/2)

Involving tan^-1(z^1/2) and csch^-1(2^1/2(1+z)^1/4/(1-(1+z)^1/2)^1/2)

Involving tan^-1(z^1/2) and csch^-1((2(1+z)^1/2/(1-(1+z)^1/2))^1/2)

Involving tan^-1(z^1/2) and csch^-1(2^1/2(1+z)^1/4/(z^1/2-(1+z)^1/2)^1/2)

Involving tan^-1(z^1/2) and csch^-1((2(1+z)^1/2/(z^1/2-(1+z)^1/2))^1/2)

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

Involving tan^-1(1/z^1/2) and csch^-1(1+z/2 (-z)^1/2)

Involving tan^-1(1/z^1/2) and csch^-1((-1-z)^1/2)

Involving tan^-1(1/z^1/2) and csch^-1((z+1)^1/2/(-z)^1/2)

Involving tan^-1(1/z^1/2) and csch^-1((-z-1)^1/2/z^1/2)

Involving tan^-1(1/z^1/2) and csch^-1((-z+1/z)^1/2)

Involving tan^-1(1/z^1/2) and csch^-1(2^1/2(1+z)^1/4/(1-(1+z)^1/2)^1/2)

Involving tan^-1(1/z^1/2) and csch^-1((2(1+z)^1/2/(1-(1+z)^1/2))^1/2)

Involving tan^-1(1/z^1/2) and csch^-1(2^1/2(1+z)^1/4/(z^1/2-(1+z)^1/2)^1/2)

Involving tan^-1(1/z^1/2) and csch^-1((2(1+z)^1/2/(z^1/2-(1+z)^1/2))^1/2)

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

Involving tan^-1((z-1)^1/2) and csch^-1((-z)^1/2)

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

Involving tan^-1(1/(z-1)^1/2) and csch^-1((-z)^1/2)

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

Involving tan^-1(1/z-1^1/2) and csch^-1((-z)^1/2)

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

Involving tan^-1((1-z)^1/2/z^1/2) and csch^-1(1/(-z)^1/2)

Involving tan^-1((1-z)^1/2/z^1/2) and csch^-1((-1/z)^1/2)

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

Involving tan^-1((z-1)^1/2/(-z)^1/2) and csch^-1(1/(-z)^1/2)

Involving tan^-1((z-1)^1/2/(-z)^1/2) and csch^-1((-1/z)^1/2)

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

Involving tan^-1(1-z/z^1/2) and csch^-1(1/(-z)^1/2)

Involving tan^-1(1-z/z^1/2) and csch^-1((-1/z)^1/2)

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

Involving tan^-1(z^1/2/(1-z)^1/2) and csch^-1(1/(-z)^1/2)

Involving tan^-1(z^1/2/(1-z)^1/2) and csch^-1((-1/z)^1/2)

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

Involving tan^-1((-z)^1/2/(z-1)^1/2) and csch^-1(1/(-z)^1/2)

Involving tan^-1((-z)^1/2/(z-1)^1/2) and csch^-1((-1/z)^1/2)

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

Involving tan^-1(z/1-z^1/2) and csch^-1(1/(-z)^1/2)

Involving tan^-1(z/1-z^1/2) and csch^-1((-1/z)^1/2)

Involving tan^-1((-z²-1)^1/2)

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

Involving tan^-1(1/(-z²-1)^1/2)

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

Involving tan^-1((-1/z²+1)^1/2)

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

Involving tan^-1(z/(-z²-1)^1/2)

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

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

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

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

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

Involving tan^-1((-z²/1+z²)^1/2)

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

Involving tan^-1((-z²-1)^1/2/z)

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

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

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

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

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

Involving tan^-1((-1+z²/z²)^1/2)

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

Involving sech^-1

Involving tan^-1(z)

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

Involving tan^-1(z) and sech^-1(1+z²/1-z²)

Involving tan^-1(z) and sech^-1(z²+1/z²-1)

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

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

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

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

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

Involving tan^-1(z) and sech^-1(2^1/2(1+z²)^1/4/((1+z²)^1/2+1)^1/2)

Involving tan^-1(z) and sech^-1(2^1/2(1+z²)^1/4/((1+z²)^1/2-1)^1/2)

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

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

Involving tan^-1(z) and sech^-1(2^1/2(1+z²)^1/4/((1+z²)^1/2+z)^1/2)

Involving tan^-1(z) and sech^-1(2^1/2(1+z²)^1/4/((1+z²)^1/2-z)^1/2)

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

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

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

Involving tan^-1(z^1/2) and sech^-1(1+z/1-z)

Involving tan^-1(z^1/2) and sech^-1(z+1/z-1)

Involving tan^-1(z^1/2) and sech^-1(2 z^1/2/1+z)

Involving tan^-1(z^1/2) and sech^-1((z+1)^1/2)

Involving tan^-1(z^1/2) and sech^-1((z+1)^1/2/z^1/2)

Involving tan^-1(z^1/2) and sech^-1((-1-z)^1/2/(-z)^1/2)

Involving tan^-1(z^1/2) and sech^-1(z+1/z^1/2)

Involving tan^-1(z^1/2) and sech^-1(2^1/2(1+z)^1/4/((1+z)^1/2+1)^1/2)

Involving tan^-1(z^1/2) and sech^-1(2^1/2(1+z)^1/4/((1+z)^1/2-1)^1/2)

Involving tan^-1(z^1/2) and sech^-1((2(1+z)^1/2/((1+z)^1/2+1))^1/2)

Involving tan^-1(z^1/2) and sech^-1((2(1+z)^1/2/((1+z)^1/2-1))^1/2)

Involving tan^-1(z^1/2) and sech^-1(2^1/2(1+z)^1/4/((1+z)^1/2+z^1/2)^1/2)

Involving tan^-1(z^1/2) and sech^-1(2^1/2(1+z)^1/4/((1+z)^1/2-z^1/2)^1/2)

Involving tan^-1(z^1/2) and sech^-1((2(1+z)^1/2/((1+z)^1/2+z^1/2))^1/2)

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

Involving tan^-1(1/z^1/2) and sech^-1(1+z/1-z)

Involving tan^-1(1/z^1/2) and sech^-1(z+1/z-1)

Involving tan^-1(1/z^1/2) and sech^-1(z+1/2 z^1/2)

Involving tan^-1(1/z^1/2) and sech^-1((1+z)^1/2)

Involving tan^-1(1/z^1/2) and sech^-1((z+1)^1/2/z^1/2)

Involving tan^-1(1/z^1/2) and sech^-1((-z-1)^1/2/(-z)^1/2)

Involving tan^-1(1/z^1/2) and sech^-1(z+1/z^1/2)

Involving tan^-1(1/z^1/2) and sech^-1(2^1/2(1+z)^1/4/((1+z)^1/2+1)^1/2)

Involving tan^-1(1/z^1/2) and sech^-1(2^1/2(1+z)^1/4/((1+z)^1/2-1)^1/2)

Involving tan^-1(1/z^1/2) and sech^-1((2(1+z)^1/2/((1+z)^1/2+1))^1/2)

Involving tan^-1(1/z^1/2) and sech^-1((2(1+z)^1/2/((1+z)^1/2-1))^1/2)

Involving tan^-1(1/z^1/2) and sech^-1(2^1/2(1+z)^1/4/((1+z)^1/2+z^1/2)^1/2)

Involving tan^-1(1/z^1/2) and sech^-1(2^1/2(1+z)^1/4/((1+z)^1/2-z^1/2)^1/2)

Involving tan^-1(1/z^1/2) and sech^-1((2(1+z)^1/2/((1+z)^1/2+z^1/2))^1/2)

Involving tan^-1(1/z^1/2) and sech^-1((2(1+z)^1/2/((1+z)^1/2-z^1/2))^1/2)

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

Involving tan^-1((z-1)^1/2) and sech^-1(z^1/2)

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

Involving tan^-1(1/(z-1)^1/2) and sech^-1(z^1/2)

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

Involving tan^-1(1/z-1^1/2) and sech^-1(z^1/2)

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

Involving tan^-1((1-z)^1/2/z^1/2) and sech^-1(1/z^1/2)

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

Involving tan^-1((z-1)^1/2/(-z)^1/2) and sech^-1(1/z^1/2)

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

Involving tan^-1(1-z/z^1/2) and sech^-1(1/z^1/2)

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

Involving tan^-1(z^1/2/(1-z)^1/2) and sech^-1(1/z^1/2)

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

Involving tan^-1((-z)^1/2/(z-1)^1/2) and sech^-1(1/z^1/2)

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

Involving tan^-1(z/1-z^1/2) and sech^-1(1/z^1/2)

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 sech^-1(1/z)

Involving tan^-1((1-z)^1/2/(1+z)^1/2) and sech^-1(1/z)

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 sech^-1(1/z)

Involving tan^-1((z-1)^1/2/(-z-1)^1/2) and sech^-1(1/z)

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

Involving tan^-1(1+z/1-z^1/2) and sech^-1(1/z)

Involving tan^-1(1-z/1+z^1/2) and sech^-1(1/z)

Involving tan^-1((z²-1)^1/2)

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

Involving tan^-1(1/(z²-1)^1/2)

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

Involving tan^-1(1/z²-1^1/2)

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

Involving tan^-1(zz²-1/z²^1/2)

Involving tan^-1(zz²-1/z²^1/2) and sech^-1(z)

Involving tan^-1(z/(1-z²)^1/2)

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

Involving tan^-1((z₂)^1/2/(1-z²)^1/2)

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

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

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

Involving tan^-1(z²/1-z²^1/2)

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

Involving tan^-1((-z²-1)^1/2/z)

Involving tan^-1((-z²-1)^1/2/z) and sech^-1(-i/z)

Involving tan^-1((1-z²)^1/2/(z₂)^1/2)

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

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

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

Involving tan^-1(1-z²/z²^1/2)

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

ArcTan[x,y]