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Let $x(t)= 1$ for all values of $t$. The even and odd components of $x(t)$ are ____ , _____ respectively.

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    $\begingroup$ This looks like homework with effort on your own $\endgroup$
    – Hilmar
    Nov 17, 2020 at 4:52
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    $\begingroup$ there are straight-forward expressions for the even and odd components. $\endgroup$ Nov 17, 2020 at 7:03

1 Answer 1

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You may ask yourself first whether the function is already even or odd. If not, check whether it contains an obvious odd/even part, and then whether the remainder is itself even/odd.

Finally, you can use the hammer of the parity decomposition. A function $f(t) $ can be split into the even and odd parts:

$$f(t) =\frac{1} {2} \big[f(t)+f(-t)\big]+ \frac{1} {2} \big[f(t)-f(-t)\big] $$

but it is often better to look at the function first.

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