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

**Physics Forums | Science Articles, Homework Help, Discussion**

Join Physics Forums Today!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

# Wave Function in specific range

**Physics Forums | Science Articles, Homework Help, Discussion**