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The position of some object moving along the x-axis is observed to be x(t)=9cos(pi*t/3+pi/4) meters. Find the frequency.

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(pi t/3) is all that matters. I assume t in seconds.
at t = 0 that is 0
when is it 2 pi?
pi T/3 = 2 pi
T = 6 seconds period
f = 1/T = 1/6 Hz

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