What is the period of #f(t)=sin( t / 2 )+ cos( (t)/ 34) #?

1 Answer
A. S. Adikesavan
May 3, 2016

#68pi#

Explanation:

For both sin kt and cos kt, the period is #(2pi)/k#.

Here, the separate periods of the terms #sin (t/2) and cos (t/34)#.in f(t) are #4pi and 48pi#.

As 48 is an integer multiple of 4, the LCM is 48 and this is the period for the sum that gives compounded oscillation of the two separate oscillations #sin (t/2) and cos (t/34)#.

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