I'm stuck on this complex analysis problem: Determine all values of $\displaystyle arcsin (i)$ and identify a value corresponding to the principal values of the logarithm and sq. root functions
I guess I'm just not sure where to get started. arcsin i could be represented by n2pi + pi/2 but I don't understand how I can find a value corresponding to the principal values. I believe log z = ln |z| + jArg(z) and sqroot(z) = sqroot (a^2+b^2)e^(jArg(z)/2)
Could the principal value be anywhere from -pi to pi?