an oscillator with a frequency of 0.25 hz is set in motion. one second later, an identical oscillator is set in motion. what is the phase separation of these two oscillators. show your work !

x1 = A sin ω t = A sin (2 pi f t)     equation for SHM with no phase

x1 =A sin (2 * pi * .25 t)  = A sin (.5 * pi * t)

x2 = A sin (.5  pi * (t - 1)) = A sin (.5 pi  t - pi/2)  second oscillator lags by 1 sec

So x2 is pi / 2 behind x1 in phase

Or x2 = A cos .5 pi t    since sin (Ф - pi/2) = cos Ф

whichever one it is, it's definitely not one that you included on the list you provided.

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