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## Homework Statement

Hey all. Im trying to get ready for my upcomming calculus exam, but Im kind of stuck here. I have to solve: arg((z+i)/(z-1))=3π/2

## Homework Equations

ehm none

## The Attempt at a Solution

Tried to fill in z=a+bi:

(a+bi+i)/(a-1+bi)

then multiply it with its conjugated complex

(a-1-bi)/(a-1-bi)

then I get:

(a

^{2}-a-abi+abi-bi-b

^{2}+ai-i-b)/(a

^{2}-a-abi-a+1+bi+abi-bi+b

^{2})

simplify:

=(a

^{2}-a-b

^{2}-b-bi+ai-i)/(a

^{2}-2a+1+b

^{2})..

sure, I got rid of the complex part in the denumerator, but I have no idea what to do next..any help would be appriciated