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Fundamental Period of the Signals

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Eshal

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Hi, I have two questions.

1) See the picture question.PNG answer.PNG
Here, in order to find fundamental period we divide the argument of the function by 2π. Like in (a)cos(0.01nπ) so the answer is f=0.01π/2π= then T=1/f=200.
But in (c) cos(3πn) the answer is T=2. Why? because according to me it is should be T=3π/2π then T=1/f=2/3=0.667. Why 2 in the solution?
Similarly, in (e) cos(π32n/10) the answer should be 3.1 but here answer is 10. Why?

2) Here I am attaching the question and three answers respectively,
question.PNG answer.PNG answer1.PNG answer2.PNG
Can anyone tell me what is going in part (a) of 1.4?

Thank you very much
 

Because the period by definition should be an integer number. The answers are the values that make the term an integer number i.e. for (π32n/10), n should be at least 10.
 

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