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  1. ω = 2 πf; τ = 1/f;
  2.  
  3. FourierTransform[β*Cos[ωt], t, ω]
  4.  
  5. Sqrt[π/2] β x Cos[ωt] DiracDelta[πf]
  6.  
  7. FourierTransform[b*Cos[2 Pi f t], t, w, FourierParameters -> {0, -1}]
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