Calculating time period of cos(pi/8 n*n)

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SUMMARY

The signal cos(pi/8 n*n) is determined to be non-periodic due to the quadratic term n*n. Users in the discussion suggest utilizing Wolfram Alpha to visualize the function's behavior and confirm its non-periodicity. Additionally, writing out the first several terms of the sequence can help clarify the lack of periodicity. This analysis is crucial for understanding the implications of non-linear transformations in trigonometric functions.

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  • Investigate the properties of non-periodic functions in trigonometry
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tina_singh
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can some one please help me calculate the time period of the signal cos(pi/8 n*n).
 
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actually what really confuses me is the term n square..i have solved similar questions where cos was a function of n(t in continuous time).

please help me with this question..
i will be really greatful
 
tina_singh said:
actually what really confuses me is the term n square..i have solved similar questions where cos was a function of n(t in continuous time).

please help me with this question..
i will be really greatful

It seems like that this function is not periodic. Enter this in wolfram alpha, check out the graph.
 
tina_singh said:
actually what really confuses me is the term n square..i have solved similar questions where cos was a function of n(t in continuous time).

please help me with this question..
i will be really greatful

Write out the first dozen or so terms, then the periodicity will become apparent.
 

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