Question Number 113983 by mohammad17 last updated on 16/Sep/20

if Z_1 =1−i and Z_2 =i^4  by using demover find (Z_1 /Z_2 ) ?

Answered by Dwaipayan Shikari last updated on 16/Sep/20

(Z_1 /Z_2 )=((1−i)/i^4 )=1−i

Commented bymohammad17 last updated on 16/Sep/20

sir i want this by demover theorem

Answered by Dwaipayan Shikari last updated on 16/Sep/20

Z_1 =(√2)((1/( (√2)))−(1/( (√2)))i)=(√2)(cos(π/4)−isin(π/4))  Z_1 =i^4 =(cos(π/2)+isin(π/2))^4 =cos(4.(π/2))+isin(4.(π/2))=1  (Z_1 /Z_2 )=(((√2)(cos(π/4)−isin(π/4)))/1)=(√2)(cos(π/4)−isin(π/4))=1−i

Commented bymohammad17 last updated on 16/Sep/20

thank you sir