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Check whether the following is periodic or not. If periodic, determine fundamental time period, x(t)=2cos(5t+1)sin(4t) t
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Solution:

Here Ω1=5,Ω2=4

T1=2πΩ1=2π5=2π5T2=2πΩ2=2π4=π2

T1T2=2π5π2=45 (It is rational number) 

Hence x(t) is periodic,

T=5T1=4T2=2π

$ \therefore x(t) \text { is periodic with period …

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