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Differential Calculus

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14 Aug 2008 15:51:46 IST

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Is sin [x] a periodic function

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Is sin [x] a periodic function

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reddevil_2009

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16 Aug 2008 00:33:14 IST

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puneet

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21 Aug 2008 12:06:13 IST

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yes,it is repeated after a period of 2

rate me if it is helpful

shan

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21 Aug 2008 22:30:49 IST

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YES BROS.......BUT THE PERIOD IS 1 NOT 2PI

Nitish

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21 Aug 2008 22:59:25 IST

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No it is NOT periodic.

@shanaditya..........

if the period was 1 then f(x) would've been equal to f(x+1) for ALL x ....i.e. sin[x] = sin[x+1]

But this fails at at least one point x=1/2.

At x=1/2,we get

sin[0.5] = sin [1.5]

sin0 = sin1

0 = sin1.........which is absurd.

puneet

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22 Aug 2008 12:30:43 IST

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but nitish 971 , it is periodic after 2

it means if f[x]=sinx therefore f[x+2]=sin[x+2]

therefore

f[x]=f[x+2] which is always true in case of sinx

shama

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22 Aug 2008 12:38:00 IST

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NO SIN MOD X IS NON PERIODIC FUNCTION BETWEEN pi/2 TO -pi/2OUT OF THIS LIMIT IT IS PRIODIC WITH PERIOD WITH 2 pi

Nitish

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22 Aug 2008 15:08:07 IST

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@coolguy_2008

The function is f(x)= sin[x] where [.] denotes the greatest integer function!

It is NOT sinx.

f(x)=f(x+2) is true for sinx but not for sin[x].

For sin[x],

at x=0,

f(x)= sin[0] = 0.

f(x+2)= sin[0+2] = sin[6.28] = sin6 which is not equal to 0!!

Prathyusha adiraju

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25 Aug 2008 18:57:41 IST

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yes it is periodic with period 1/2. as the period of [x] is 1 and period of sinx is .

RyuAmakusa

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25 Aug 2008 19:02:06 IST

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[.] is not fractiona part it is greatest integer........and gif is not periodic....

anchal singhal

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25 Aug 2008 19:04:15 IST

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yes, sin x repeats at 2npie

akshay A NEW BEGINNING...

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25 Aug 2008 21:43:03 IST

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it is periodic wid period 1..

Nitish

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25 Aug 2008 21:55:32 IST

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NO IT ISNT!!

Read the earlier posts.

suDhAnSHu S. MisHrA

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25 Aug 2008 22:13:24 IST

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you jst hav to sketch the graph of sin x, and u''ll see that IT REPEATS AFTER AN INTERVAL OF 2n PIE.
arey its an understood fact that 30 degree is same as (360+30)degree, which goes on every time you complete on revolution around the origin. the values repeat...............................
I CAN BET ON THAT

rate me if i'm right, as i alwaz am

Nitish

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25 Aug 2008 22:17:31 IST

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Why cant you people get it???!!!!

THE FUNCTION IS NOT SINX!

It's Sin[x] where [.] denotes the greatest integer function!

debmalya choudhuri

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25 Aug 2008 22:33:45 IST

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yes nitish ur rit it is not to be confused
let f(x)=sin[x]
let there exist an integer t for which f(x+t)=sin[x+t]
here there is no intger t for which this will be satisfied absolutely correct nitish it is a non periodic function

Rajarshi

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28 Aug 2008 22:20:08 IST

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Re:Is sin [x] a periodic function

AtuL SinhA

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28 Aug 2008 22:38:00 IST

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NO ITS IS NOT A PERIODIC FUNCTION.

suDhAnSHu S. MisHrA

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30 Aug 2008 17:23:16 IST

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sworry i din get you

LALIT

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30 Aug 2008 17:58:32 IST

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ya sin[x] is a periodic function because if you draw the graph of it it will be a graph with value 0 from 0 to 2pie and 1at half of pie ,then its 0from half of pie to pie and then its -1 from pie to 2pie and so on ....period is 2pie

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