Question

express the following in the form of a+bi complex numbers

1)1+i/1-i​

Answer 1

Answer:

(1 + i)/(1 - i)

multiply both numerator and denominator by the conjugate of the denominator (1 + i)

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

=> (1 + i)² / 1 - (i)²

=> [1 + (i)² + 2*1*i] / 1 + 1 [ i² = -1 ]

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

=> 2i /2

=> i

=> 0 + 1i answer