Question

calcule os quocientes a) 1+i/3+i b) 1/1+i

Answer 1

a) 1+i/3+i  =(1+i)(3-i)/(3+i)*(3-i) =(1+i)*(3+i)/(9+1)

=(3+3i+i-1)/10 = (2+4i)/10 =1/5 +2i/5

b) 1/1+i  =(1-i)/(1+i)(1-i) =(1-i)/(1+1)=1/2-i/2