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

1 Answer
A. S. Adikesavan
Aug 14, 2016

#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#

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