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

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

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