Question

What is the period of `f(t)=sin( t / 36 )+ cos( (t)/7)`?

Answer 1

`504pi`

Explanation:

In `f(t)` the period of `sin (t/36)` would be `(2pi)/(1/36) = 72 pi` .

Period of `cos(t/7)` would be `(2pi) /(1/7)` =`14 pi`.
Hence the period of `f(t)` would be the least common multiple of `72pi` and `14pi` which is `504pi`