Complex exponentials, logarithms and powers, electrical engineering

[Sameer1x1]

I'm struggling with this question this is what I got so far, can someone please assist

 

[Deleted member 4993]

View attachment 26418
I'm struggling with this question this is what I got so far, can someone please assist
View attachment 26419

Correct.

Continue and derive the formula for |1+z|.

 

[Sameer1x1]

I'm not sure what to do next

 

[Sameer1x1]

The very next step

 

[Deleted member 4993]

The very next step

Continue and derive the formula for |1+z|.

If z = x + iy then [|z|]² = x² + y²