1) Sketch the regions in the Argand diagram given by: |z+i| < |z-3| this means the distance from z to 3 is greater than the distance from z to i? would I then just draw two lines on the argand diagram, shading the lower region and not including the boundary? havent had a problem with these questions through term, guess im just a bit burned out and need to make sure. :uhh: 2) Find the modulus and the argument of: 1+ cosx + isinx does this involve changing the angle to x/2 and using trig expansions? -thanks.