Question

find value of a and b if (1+i/1-i) ^2​

Answer 1

Answer:

(1+i/1-i)=i

therefore a=0,b=1

Step-by-step explanation:

(1+i/1-i)

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

=(1+i)²/(1²-i²)

=(1+i²+2i)/(1+1)

=(1-1+2i)/2

=2i/2

=i

therefore, a=0 b=1

Answer 2

Answer:

a=0 and b=1

Step-by-step explanation:

(1+i/1-i)²=1+i/1-i×1+i/1+I

=(1+i)²/1²-i²

=1+i²+2i/1+1

=1-1+2i/2

=2i/2

=i

let a+ib=0+i

therefore,a=0 and b=1

HOPE IT HELPS YOU

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