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f(t) = { 1 - |t|, |t| < 1

0, |t| > 1 }

Well , I found the Fourier transform by working out the integral f(t)e^(-iwt) with the limits being -inf to +inf (and I got the right answer).

Now, since f(t) is an even function, does that mean I can use the Fourier cosine transform?

I tried to work it out and got a different answer, and basically I'm confused?

Any help is appreciated, thanks!