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The signum function is given by

$

sgn(x)= \begin{cases}

\frac{x}{|x|};x \neq 0& \\

0;x=0&

\end{cases}$

The Fourier series expansion of $sgn (\cos (t) )$ has

- Only sine terms with all harmonics.
- Only cosine terms with all harmonics.
- Only sine terms with even numbered harmonics.
- Only cosine terms with odd numbered harmonics.

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