Question

What is the period of `f(t)=sin((4t)/3)+ cos( (t)/12 )`?

Answer 1

`24pi`

Explanation:

Period of `sin ((4t)/3)`--> `(3/4)2pi = (6pi)/4 = (3pi)/2`
Period of `cos (t/12)` --> `(12)(2pi) = 24pi`
Find least common multiple of `(3pi)/2 and 24pi.`
It is `24pi` because `(3pi)/2 x (16) = 24pi`