- #1

- 13

- 0

## Homework Statement

Let H(ω) be a complex-value function of the real variable ω. For each of the cases below, find |H(ω)| and argH(ω).

a: H(ω)= 1/(1+iω)^10

b: H(ω)=(-2-iω)/(3+iω)^2

## Homework Equations

## The Attempt at a Solution

Our prof has not taught how to do these types of questions in terms of functions. I understand how to find the magnitude and principal argument of a complex number, but I'm completely lost how to approach this question.

for complex numbers I'd convert it to polar form using r = [itex]\sqrt{a

^{2}+b

^{2}}[/itex] for some complex number z = a+ib and then using tan

^{-1}(b/a) to get the principal argument (adjusting the result as necessary).

If someone could please give me a hint as to how to approach this problem I would be extremely grateful since it's due tomorrow!