A low pass filter at 2hz would filter out the high frequencies contained in a sawtooth waveform, thus rendering a 1hz sine waveform. To accurately sample a 1hz

A low pass filter at 2hz would filter out the high frequencies contained in a sawtooth waveform, thus rendering a 1hz sine waveform. To accurately sample a 1hz sawtooth waveform, you'd have to filter/sample at a much higher frequency.