Question

express the following in the form of a+bi,a,b€Ri=
$\sqrt{ - 1}$
State the values of
ii) (1+i)(1-i)^-1
​

Answer 1

Step-by-step explanation:

$given \: it \: \\ \frac{1 + i}{1 - i} = \frac{1 + i}{1 - i} \times \frac{1 + i}{1 + i} \\ \: \: \: \: \: \: \: \: \: \: \: = \frac{1 + {i}^{2} + 2i}{1 - {i}^{2} } \\ \: \: \: \: \: \: \: \: \: \: = i \\ a = 0 \: \: \: b = 1 \\ \\ hope \: it \: will \: help \: you.$