Question

What is the period of `f(t)=sin( t / 36 )+ cos( (t)/64 )`?

Answer 1

`1152 pi`

Explanation:

Period `sin(t/36)` is `72 pi`

Period `cos(t/64)` is `128pi`

Period of `sin(t/36) + cos(t/64)` is the LCM times `pi`

`LCM[64,128] = 1152`

So the period is `1152 pi`