# What is the period of #f(t)=sin( t / 18 )+ cos( (t)/ 48 ) #?

##### 1 Answer

May 10, 2016

#### Explanation:

For both sin kt and cos kt, the period is

So, the separate periods of oscillations for #sin t/18 and cos t/48 are

Now, the period for the compounded oscillation by the sum is

LCM

Jusr see how it works.