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A function is given by $f(t)=\sin ^{2} t+\cos 2 t$. Which of the following is true?

  1. $f$ has frequency components at 0 and $1 / 2 \pi \; \mathrm{Hz}$
  2. $f$ has frequency components at 0 and $1 / \pi \; \mathrm{Hz}$
  3. $f$ has frequency components at $1 / 2 \pi$ and $1 / \pi \; \mathrm{Hz}$
  4. $f$ has frequency components at $0,1 / 2 \pi$ and $1 / \pi \; \mathrm{Hz}$
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