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easy theoretical question-periodic signal, i'm confused

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pardis
easy theoretical question-periodic signal, i'm confused

Hi folks,
I'd like to find the period of this signal: x(t)=cos(t)+cos(2*pi*t)
I know each signal's period which is as follows :2*pi &  1 respectively. I can depict the freq. response of x(t).
Also according to fourier series, each signal that i can open up to a combination of sine & cosine means it's periodic.

but  to find out the period of x(t),  I should have 2*pi*k=1*m=period of x(t)  with m & k integer numbers, which is not possible.

any help will be appreciated

Edited by: admin on 05/16/2010 - 04:32