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)