# Graphing the Trigonometric Fourier spectra

Discussion in 'Homework Help' started by nyasha, Oct 27, 2011.

1. ### nyasha Thread Starter Active Member

Mar 23, 2009
90
1

So l just need to be pointed in the right direction and the rest l will do myself. How do l get the amplitude and phase for ω=2t. There is a sine and cosine with ω=2t. How do l deal with them.

Oct 22, 2011
543
41
3. ### nyasha Thread Starter Active Member

Mar 23, 2009
90
1

I do understand how to get the Fourier series. The given signal is a already a calculated fourier series they just want it to sketch its Fourier spectra. I am confused on what to do at ω=2t

4. ### MrChips Moderator

Oct 2, 2009
12,652
3,461
You probably meant to say at ω=2.

The amplitude would be the square-root of the sum of squares:

$
\sqrt{(\sqrt{3})^2 + 1^2} = \sqrt{4} = 2
$

See if you can figure out the phase on your own.

5. ### nyasha Thread Starter Active Member

Mar 23, 2009
90
1
And the phase is 30 degrees. I now get it. Thanks man.

6. ### MrChips Moderator

Oct 2, 2009
12,652
3,461
Well the phase angle is either 30 or 60 degrees. Try to figure out which is the correct answer.