# What is the period of #f(t)=sin( t / 32 )+ cos( (t)/8 ) #?

##### 1 Answer

Aug 11, 2016

#### Explanation:

The period for both sin kt and cos kt is

Here, the separate periods for the oscillations

The first is four times the second.

So, quite easily, the period for the compounded oscillation f(t) is

See how it works.

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