Which of the following function represents a simple harmonic oscillation
A$\sin \omega t - \cos \omega t$
B${\sin ^2}\omega t$
C$\sin \omega x + \sin 2\omega t$
D$\sin \omega x - \sin 2\omega t$
AIIMS 2005, Medium
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A$\sin \omega t - \cos \omega t$
a The standard differential equation is satisfied by only the function $\sin \omega \,t - \cos \omega \,t.$
Hence it represents $S.H.M.$
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