Mathematics
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OpenStudy (kc_kennylau):
How do you prove that the wavelength of \(|\sin x|\) is \(\pi\)?
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OpenStudy (kc_kennylau):
@experimentX @ChristopherToni @uri ?
OpenStudy (experimentx):
|sin(x+L)| - |sin(x)| = 0
OpenStudy (experimentx):
find the value of L
OpenStudy (kc_kennylau):
\(n\pi\)?
OpenStudy (experimentx):
yes ... that it the minimum value of n?
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OpenStudy (kc_kennylau):
practically it's \(-\infty\) but I bet you want me to answer \(0\)
OpenStudy (experimentx):
one has to be different from another, n=1
OpenStudy (kc_kennylau):
wait sorry negative answers are invalid so yes it's 0
OpenStudy (kc_kennylau):
But what does it have to do with the wavelength
OpenStudy (kc_kennylau):
wait it's symmetrical so negative answers work too...
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OpenStudy (kc_kennylau):
anyway what does it have to do with the wavelength
OpenStudy (kc_kennylau):
But how do you prove that...
OpenStudy (experimentx):
f(x+mutiple of wavelength) = f(x)
OpenStudy (experimentx):
that is the definition of wavelength
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OpenStudy (kc_kennylau):
I mean how do you prove that \(|\sin(x+n\pi)|=|\sin x|\)
OpenStudy (experimentx):
sin(x+npi) = -sin(x) is n is odd and
= sin(x) if n is even
OpenStudy (kc_kennylau):
How do you prove this?
OpenStudy (experimentx):
use sin(A+B) = ...
OpenStudy (kc_kennylau):
oh i see thanks so much
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OpenStudy (experimentx):
yw
OpenStudy (kc_kennylau):
@Kainui lol why medal me
OpenStudy (kainui):
You ask good questions.
OpenStudy (kc_kennylau):
lol thx