1. The problem statement, all variables and given/known data Find the inverse fourier transform of F(jω) = cos(4ω + pi/3) 2. Relevant equations δ(t) <--> 1 δ(t - to) <--> exp(-j*ωo*t) cos(x) = 1/2 (exp(jx) + exp(-jx)) 3. The attempt at a solution So first I turned the given equation into its complex form using Euler's Formula. F(jω) = 1/2 (exp(j*4*ω + j*pi/3) + exp(-j*4*ω - j*pi/3)) And using the relevant equation above, I get.. exp(j*4*ω) <--> δ(t + 4) and exp(j*4*ω) <--> δ(t - 4) I'm not exactly sure how to do inverse fourier transformation on exp(j*pi/3) and exp(-j*pi/3). My guess is you simply get simply exp(j*pi/3)*δ(t) and exp(-j*pi/3)*δ(t). Assuming I'm correct in the above step, I now multiply the resulting expressions. 1/2 ( exp(j*pi/3)*δ(t)*δ(t + 4) + exp(-j*pi/3)*δ(t)*δ(t - 4) ) Is my solution correct? I feel like I would have to simply the final answer I got but I'm not really sure how.