Involving cos^-1(z+1/z-1)

Involving cos^-1(z+1/z-1) and cot^-1((-z)^1/2)

Involving cos^-1(z+1/z-1) and cot^-1(1/(-z)^1/2)

Involving cos^-1(z+1/z-1) and cot^-1((-1/z)^1/2)