Question

z = (1+i/1-i) solve this.. ​

Answer 1

Answer:

$i$

Step-by-step explanation:

$z = \frac{(1 + i)}{(1 - i)}$

$= \frac{(1 + i)}{(1 - i)} \times \frac{(1 + i)}{(1 + i)}$

$= \frac{ {(1 + i)}^{2} }{ {(1)}^{2} - {(i)}^{2} }$

$= \frac{ {(1)}^{2} + {i}^{2} + 2i}{1 + 1}$

$= \frac{2i}{2}$

$= i$