Find time period of the function, `y=sin omega t + sin 2omega t + sin 3omega t`

What is the time period for the function f(t) = sin omegat + cos omega t may represent the simple harmonic motion ?

Categorise the following function of time : sin omega t + sin 3 omega t + sin 5 omega t as (a) S.H.M. (b) Periodic but no S.H.M. .Also give the period. Hint : Find the smallest interval of time after which the sum of 3 terms repeats

The function sin 2 ( omega t) represents