Involving sin^-1((c z²+1)^1/2)

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

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

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