A student writes four different expressions for the displacement y in a periodic motion as a func...

A student writes four different expressions for the displacement y in a periodic motion as a function of time t, a as amplitude, T as time period. Which of the following can be correct?
(1) y=a T sin2 π t/T
(2) y=a sin V t
(3) y=a/Tsint/a
(4) y=a/√(2)[sin2 π t/T+cos2 π t/T]

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