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OpenStudy (anonymous):
Frequency of what?
OpenStudy (anonymous):
\[\omega/2\pi\]
OpenStudy (anonymous):
you have to tell us what
OpenStudy (anonymous):
y=4sec(pi-5pix)
OpenStudy (anonymous):
\[\omega\]=5pi
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OpenStudy (anonymous):
so 5/2
OpenStudy (anonymous):
yes
OpenStudy (anonymous):
thanks :)
OpenStudy (anonymous):
what would be the initial phase?
OpenStudy (anonymous):
y=4sec(pi-5pix)
plug in 0 for x
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OpenStudy (anonymous):
y= 4 Sec (pi)
-4
OpenStudy (anonymous):
my options are pi, 0 , pi/2, -pi/2 and -pi
OpenStudy (anonymous):
Purely trigonometric functions take the following form:
\[ y = A \sin(\omega x + \phi)\]
where A is the amplitude, omega is the angular frequency, and phi is the initial phase.
OpenStudy (anonymous):
pi
OpenStudy (anonymous):
wrong :(
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OpenStudy (anonymous):
It is perhaps a difference in notation. I write
\[ A \sin(\omega x + \phi)\]
but it's perfectly okay to write
\[A\sin(\omega x - \phi)\]
and it would mean exactly the same thing. If this is how you have been taught, then the answer should be -pi, but you should note that they're exactly the same.
OpenStudy (anonymous):
yes i got it :D what about for y=-4 sex(5/4 pi x) +4?