Question

What is the period of `f(t)=sin( t / 18 )+ cos( (t)/18 )`?

Answer 1

`36pi`

Explanation:

For both sin kt and cos kt, the period is `2pi/k`.

Here, the periods for the separate oscillations

`sin (t/18 )and cos (t/18)` are the same `36pi`.

And so, for the compounded oscillation

`f(t) = sin t/18 + cos t/18` also the period (= even LCM of separate

periods) is the common value `36pi`