Question

What is the period of `f(t)=sin( t / 30 )+ cos( (t)/ 9 )`?

Answer 1

`180pi`

Explanation:

Period of `sin (t/30)` --> `60pi`
Period of `cos (t/9)` --> `18pi`
Period of f(t) --> least common multiple of `60pi` and `18pi`
`60pi` ...x (3) --> `180pi`
`18pi`...x (10) --> `180pi`
Period of f(t) --> `180pi`