What is the period of #f(t)=sin( 4 t )+ cos( (7t)/24 ) #?
The period for sin kt and cos kt = #(2 pi)/k.
Here, the separate periods for
For the compounded oscillation
If t is increased by the least possible period P ,
Here, ( the least possible ) P= 48 pi= (2 X 48)P_1=((12/7) X 48) P2#.