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Mathematics 17 Online
OpenStudy (kc_kennylau):

How do you prove that the wavelength of \(|\sin x|\) is \(\pi\)?

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?

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...

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

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

OpenStudy (experimentx):

yw

OpenStudy (kc_kennylau):

@Kainui lol why medal me

OpenStudy (kainui):

You ask good questions.

OpenStudy (kc_kennylau):

lol thx

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