1. ## Complex analysis problem

I'm stuck on this complex analysis problem: Determine all values of $arcsin (i)$ and identify a value corresponding to the principal values of the logarithm and sq. root functions

2. Originally Posted by sonicoverdrive
I'm stuck on this complex analysis problem: Determine all values of $arcsin i$ and identify a value corresponding to the principal values of the logarithm and sq. root functions
Start with the definitions of the complex arcsin function, complex log function and square root function. Where are you stuck?

3. 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?