Answer
True.
In fact, $f(t+nc)=f(t)$, where $n$ is an integer.
Work Step by Step
$f(t-2c)=f[(t-2c)+c]=f(t-c)$
$f(t-c)=f[(t-c)+c]=f(t)$. So:
$f(t-2c)=f(t)$
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