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

Involving sin^{-1}(2 z/z^{2}+1) and coth^{-1}(i z)

Involving sin^{-1}(2 z/z^{2}+1) and coth^{-1}(i/z)

Involving sin^{-1}(2 z/z^{2}+1) and coth^{-1}(i z^{r})