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|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.