Question

What is the period of `f(t)=sin( t / 32 )+ cos( (t)/12 )`?

Answer 1

`192pi`

Explanation:

Period of sin (t/32) --> `64pi`
Period of cos (t/12) --> `24pi`
Period of f(t) --> least common multiple of `64pi` and `24pi`
---> `192pi`

`64pi` ...x...(3) ---> `192pi`
`24pi` ...x ...(8) ---> `192 pi`