# What is the period of #f(t)=sin( t / 30 )+ cos( (t)/ 33) #?

##### 1 Answer

Jul 28, 2016

#### Explanation:

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.

Note that,