Question

What is the period of `f(t)=sin( t / 36 )+ cos( (t)/6 )`?

Answer 1

`72pi`

Explanation:

Period of sin (t/36) --> `(36pi)(2) = 72pi`
Period of cos (t/6) -->`6(2pi) = 12pi`
Least common multiple of `72pi` and `12pi` --> 72pi
Therefor, period of`f(t) = 72pi`