Mathematics
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OpenStudy (mathmath333):
Trigonometry question
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OpenStudy (anonymous):
what is it
OpenStudy (mathmath333):
|dw:1453715817451:dw|
OpenStudy (anonymous):
is that a book
OpenStudy (mathmath333):
nyaoa
OpenStudy (mathmath333):
i also dont know what period means here
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hartnn (hartnn):
period of
\(y = A \sin (\omega t +\phi )\)
is
\(\Large T = \dfrac{1}{2\pi \omega }\)
use this formula
OpenStudy (anonymous):
I was about to ask that
hartnn (hartnn):
period means the function repeats itself after that amount of time
(time if x axis represents time, else whatever is represented by x axis)
OpenStudy (mathmath333):
t=1/2n
hartnn (hartnn):
sorry for the bad formula
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hartnn (hartnn):
\(T = \dfrac{2\pi }{\omega }\)
OpenStudy (mathmath333):
i m confused does \(\phi\) ot \(t\) resembles \(\theta\) there
hartnn (hartnn):
\(\phi \) is the phase difference,
\(\theta \) is the x-axis variable
here \(\phi = 0 \)
hartnn (hartnn):
|dw:1453716261982:dw|
hartnn (hartnn):
|dw:1453716299889:dw|
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OpenStudy (mathmath333):
is this correct ?
\(A\sin(wt+\phi)=\sin (n\theta)\\
A=1 \\
wt=\theta \\
\phi =0\)
OpenStudy (mathmath333):
\(A\sin(wt+\phi)=\sin (n\theta)\\
A=1 \\
wt=n\theta \\
\phi =0\)
hartnn (hartnn):
yes
OpenStudy (mathmath333):
is w=1 ?
hartnn (hartnn):
we can use t or \(\theta \)
\(\omega \theta = n \theta \\ \omega = n\)
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OpenStudy (mathmath333):
\(\Huge \dfrac{2\pi}{n}\)
hartnn (hartnn):
\(\Huge \color{green} \checkmark \)
OpenStudy (mathmath333):
thnks
hartnn (hartnn):
wlcms ^_^