Question

The argument of the complex number z=1/1+i​

Answer 1

Answer:

$\alpha = 135 \: degrees \: = \frac{3\pi}{4}$

Step-by-step explanation:

$\frac{1}{1 + i} = \frac{1 - i}{1 + 1} \\ \\ = \frac{1 - i}{2} \\ \\ = \frac{1}{2} - \frac{i}{2} \\ \\ \tan( \alpha ) = -1 \\ \\ \alpha = \frac{3\pi}{4} \\ \\ \alpha = 135 \: degree.$