Calculating Phase of Fourier Transform

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im trying to understand how to calcuate a Phase of a function in the frequency domain.

from what i know, to calculating a phase i need to use this formula :

arctan(Im/Re)

now im trying to calculate the phase of this func:

f(w) = e^(-jwT/2)*sinc(w/Ws)

this is FT of shifted Rectangle func.

now from what i see there is no Real part in this func so how do i calculate the phase?

the phase graph of this function is looks like f(w) = -w.

i hope it was clear, thanks!