Question

What is the period of `f(t)=sin( t / 36 )+ cos( (t)/15 )`?

Answer 1

`360pi`

Explanation:

Period of `sin (t/36)`---> `36(2pi) = 72pi`
Period of `cos (t/15)`---> `15(2pi) = 30pi`
Period of f(t) is least multiple of `72pi and 30pi`
It is `360pi`
`72pi` x (5) ---> `360 pi`
`30pi` x (12) ---> `360pi`