Question

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

Answer 1

`68pi`

Explanation:

For both sin kt and cos kt, the period is `(2pi)/k`.

Here, the separate periods of the terms `sin (t/2) and cos (t/34)`.in f(t) are `4pi and 48pi`.

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 `sin (t/2) and cos (t/34)`.