Involving tanh^{-1}((z-a)^{1/2}/(z+a)^{1/2})

Involving tanh^{-1}((z+1)^{1/2}/(z-1)^{1/2}) and cos^{-1}(z)

Involving tanh^{-1}((z-1)^{1/2}/(z+1)^{1/2}) and cos^{-1}(z)