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Mathematics 8 Online
OpenStudy (deadshot):

What is the period of the function represented by the following graph? http://static.k12.com/eli/bb/598/-1/0/2_42639_55182/-1/0e01c07ca258006980130f3e820f32b9ddc0cc79/media/bd3255b9b52f26cd4c0bb9bdbe27ca1e59e11525/mediaasset_1330890_1.jpg

OpenStudy (deadshot):

@ganeshie8 Can you help me with this? I only see it as a wave bouncing off of \[-\frac{ 1 }{ 2 } and \frac{ 1 }{ 2 }\]

ganeshie8 (ganeshie8):

for period you need to look Left and Right

OpenStudy (deadshot):

It keeps hitting the 360 degree mark

OpenStudy (deadshot):

Which is

OpenStudy (deadshot):

\[2\pi\] If I remember correctly

ganeshie8 (ganeshie8):

look at the wave from left to right, yes one Full waveform is taking -360 to 360

ganeshie8 (ganeshie8):

\(360--360 = 720\)

ganeshie8 (ganeshie8):

Yes, \(2\pi = 360\) is the period of normal sin wave : \(\sin x\)

ganeshie8 (ganeshie8):

but here the wave is taking more time for doing one Full cycle (720) so, period = ?

OpenStudy (deadshot):

it takes about twice as long, so would the period be \[4\pi\]?

ganeshie8 (ganeshie8):

period is simply the time it takes for doing one Full cycle.

ganeshie8 (ganeshie8):

Yup you have it !!

OpenStudy (deadshot):

Thanks!

ganeshie8 (ganeshie8):

\(720 ~ degrees = 4\pi ~radians\)

ganeshie8 (ganeshie8):

u wlc :)

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