# What is the period of #f(t)=sin( t / 2 )+ cos( (t)/ 34) #?

##### 1 Answer

May 3, 2016

#### Explanation:

For both sin kt and cos kt, the period is

Here, the separate periods of the terms

As 48 is an integer multiple of 4, the LCM is 48 and this is the period for the sum that gives compounded oscillation of the two separate oscillations