How do you perform a FT of cos(10*pi*t)*[u(t)-u(t-1)] using the fourier transform table?

Secondly, if I want it in the f-domain instead of w/omega domain, what's the frequency of the "?" i.e. delta(f-?)

 

You have to use the modulation property of Fourier transforms -

http://www.thefouriertransform.com/transform/properties.php#modulation


Regards, Dana.