robertjford80
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Homework Statement
this comes from a problem with the Fourier series
The Attempt at a Solution
I don't get the above step.
Problem with the fourier series
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this comes from a problem with the Fourier series
I don't get the above step.
Discussion
clamtrox
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What is cos(0)? How about cos(π)? cos(2π)? What's the period of cosine?
robertjford80
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here's another photo. I think the period is pi, but I would think cos npi would simplify to 1 not -1
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I have no idea why you would think that! Surely you know that [itex]cos(\pi)= -1[/itex]?
Infinitum
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robertjford80 said:
The period of cos is not ∏. Think at what intervals does cos give you the same numbers it was giving for the previous interval?
In other words,
[tex]cos(T+x) = cos(x)[/tex]
For which smallest non-zero, positive value of T??Also, cos(n∏) has both the possibilities of being cos(∏) at n=1 and cos(2∏) at n=2. What are the values of each?