# What is the period of #f(t)=sin( t /2 )+ cos( (13t)/24 ) #?

##### 1 Answer

Apr 25, 2016

#### Explanation:

The period of both sin kt and cos kt is

So, separately, the periods of the two terms in f(t) are

For the sum, the compounded period is given by

L=13 and M=1. The common value =

Check: