Question

What is the period of `f(t)=sin( t /44 )+ cos( (7t)/24 )`?

Answer 1

`528pi`

Explanation:

Period of `sin (t/44)` --> `88pi`
Period of `cos ((7t)/24)` --> `(48pi)/7`
Find least common multiple of `88pi` and `(48pi)/7`

`88pi` ... x (6) ... --> `528pi`
`(48pi)/7` ... x (7)(11) ... --> `528pi`

Period of f(t) --> `528pi`