What is the period of #f(t)=sin( t / 32 )+ cos( (t)/36 ) #?
1 Answer
Oct 24, 2017
Explanation:

The period of
#sin(t/32)# is#32 * 2pi = 64pi# 
The period of
#cos(t/36)# is#36 * 2pi = 72pi# 
The least common multiple of
#64pi# and#72pi# is#576pi# , so that is the period of the sum.
graph{sin(x/32)+cos(x/36) [2000, 2000, 2.5, 2.5]}