Question

The modulus and the argument of the complex numbers 1/(1+i) is​

Answer 1

Answer:

$\frac{1}{ \sqrt{2} }$

Step-by-step explanation:

Given

$z = \frac{1}{1 + i}$

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

$z = \frac{1 - i}{1 - {i}^{2} }$

$z = \frac{1 - i}{2}$

$|z| = \sqrt{ {( \frac{1}{2}) }^{2} + {( \frac{1}{2} })^{2} }$

$|z| = \frac{1}{ \sqrt{2} }$

Hope it helps