1. The problem statement, all variables and given/known data Consider the complex function f (z) = (1 + i)^z with z ε ℂ. 1. Express f in polar coordinates. 2. Relevant equations The main derived equations are in the following section, there is no 'special rule' that I (to my knowledge) need to apply here. 3. The attempt at a solution I calculated that the equation is equal to (√2)(e^x)(cos(y)+icos(y)+isin(y)-sin(y)) or, alternatively (e^((xln(√2)-y∏/4))(e^(i∏((x/4)+yln(√2)) (These expansions may not be correct though) My main problem lies in the question itself. Even though I have done these expansions I have no idea whether or not they are relevant for the problem at hand (The fact that it is polar coordinates that the question is after makes me believe that the latter expansion is irrelevant), and if they are I am unsure as to how to represent them as 'polar coordinates'. Any help would be greatly appreciated, thank-you.