I obtained the following from a book.(adsbygoogle = window.adsbygoogle || []).push({});

Question is:

Periodic Sawtooth described by the following;

f(x) = x/2∏ for 0<x<2∏

f(x+2∏) = f(x) for -∞<x<+∞

The solution is:

If x = 0

y = 0

If x = 2∏

y = 2∏/2∏ = 1

If x = 4∏

y = f(2∏+2∏) = 2∏ = 1

Can anyone explain to me why when x = 4∏ y = 1 ? I'm not clear on that bit.

I would just think if you're putting x = 4∏ into the 2nd equation in the question you would get y = f(4∏+4∏) = f(8∏)

I know a full rotation is 2 ∏, so I can see how 8∏ would be the same as 2∏, but then how did they go from 2∏ to 1 in the part above which I have emboldened?

Thank you

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# Homework Help: Wave Function in specific range

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