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It is known that the signal $x(t)$, where $t$ denotes time, belongs to the following class:
\left\{A \sin \left(2 \pi f_{0} t+\theta\right): f_{0}=1 \mathrm{~Hz}, 0 \leq A \leq 1,0<\theta \leq \pi\right\}
If you are allowed to take samples of $x(t)$ at times of your choosing, at most how many samples are required to determine the signal?

  1. $1$ sample.
  2. $2$ samples.
  3. $1$ sample per second.
  4. $2$ samples per second.
  5. None of the above.
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