What is the period of #f(t)=sin( t / 30 )+ cos( (t)/ 33) #?
The period for both sin kt and cos kt is
So, the separate periods for the the two terms in f(t) are
The period for the compounded oscillation of f(t) is given by
least positive integer multiples L and M such that
the period P = 60 L = 66 M.
L = 11 and M =10 for P =660
See how it works.