What is the period of #f(t)=sin( t / 36 )+ cos( (t)/ 42) #?
First of all we, know that
From this, we can deduct that
In your case,
Your global function is the sum of two periodic functions. By definition,
and in your case, this translates into
From here, you can see that the period of
The least positive P (if any ) such that f( t + P ) = f( t ) is befittingly
called the period of f(t). For this P, f(t+nP)=f(t), n =+-1,, +-2, +-3, ...#.
the period for
For the given compounded oscillation f(t), the period P should be
such that it is also the period for the separate terms.
This P is given by #P=M(pi/18)=N(pi/21). For M= 42 and N= 36,
Now, see how it works.
If halve P to 761 and this is odd. So, P = 1512 is the least possible
even multiple of