Question

What is the period of `f(t)=sin( t / 32 )+ cos( (t)/21 )`?

Answer 1

`1344pi`

Explanation:

Period of sin (t/32) --> `64pi`
Period of cos (t/21) --> `42pi`
Find least multiple of `64pi and 42pi`
Prime numbers -->
64 = 2.2.4.4
42 = 2.3.7
`64pi` ... x (21) ...--> `1344pi`
`42pi` .... x (32) .. --> `1344pi`
Period of f(t) --> `1344pi`