Question

What is the period of `f(t)=sin( t / 36 )+ cos( (t)/9 )`?

Answer 1

The period of the compounded oscillation `f(t) = sin(t/36)+cos(t/9)` is 72pi#...

Explanation:

The period for both sin kt and cos kt is `2pi/k`.
The period of `sin(t/36) = 72pi`.
The period of `cos (t/9)=18pi`.
18 is a factor of 72.

So, the period for the compounded oscillation is `72pi`.