Question

how to determine whether the function is periodic or not ??some help please

Answer 1

do u have any function to determine it's periodicity?

Answer 2

cos2x

Answer 3

if the value of function repeats itself after an interval than function is periodic

Answer 4

so cos2x ?

Answer 5

it is periodic at a interval of \[\pi/2:)\]

Answer 6

oh thanx, can u please tell me how to know that ?please :)

Answer 7

yes sin x and cos x are periodic functions of period 2pi
as you increase the value of x to ax the functions shrinks and period changes to 2pi/a
so answer is pi sorry:)

Answer 8

thanx sir

Answer 9

@Fazeelayaz you are wrong :!

Answer 10

??

Answer 11

if you take common 2 you r left with pi not pi/2:)

Answer 12

\[f(x)=f(x+p)\]
where p is period


\[\cos2x=\cos(2x+2\pi)\]
\[=\cos2(x+\pi) \]
\[p=\pi\]

Answer 13

the aswer is pi not pi/2

Answer 14

thanx

Answer 15

if u plug pi/2 in cos2x
u would get cospi but period of sines or cosiines is 2 times pi so period of cos2x is pi

Answer 16

plz give me medal if u understood the procedure i need medals to show them to my girl friend thanks

Answer 17

hey sorry what does the fundamental period mean??

Answer 18

fundamental period is lowest value of interval in which the value of function repeats for sine and cosine it is 2pi

Answer 19

so for cosax its 2pi/a ????

Answer 20

the value of cos 2x may also repeat after some mulltiple of pi like 2pi 3pi but lowwest value is pi

Answer 21

@Fazeelayaz sry if he gave you medal then you have to gave me medal
@System2012 yup:)

Answer 22

@Fazeelayaz just read his question first:)

Answer 23

yes 2pi/a

Answer 24

cosax=cos(ax+2pi)
=cosa(x+2pi/a)

Answer 25

thanx

Answer 26

Hello guys am stuck with this function is it periodic cos^3x ??

Answer 27

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Answer 28

last question :) please gonna have ma exam 2moro..:

Answer 29

cos3x=cosx(3x+2pi)
=cos3(x+2pi/3) period =2pi/3

Answer 30

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Answer 31

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Answer 32

man its cos^3 not cos3 i will give u man dont worry ;-)

Answer 33

cos^3(x)

Answer 34

please

Answer 35

????

Answer 36

ok cos^3x=(cosx)^3 period is equal to 2pi apply same rule just set whole powr to 3

Answer 37

is it periodic >???

Answer 38

yes

Answer 39

hey my girl friend

Answer 40

come on plz

Answer 41

so how do i give medal from where ?? just tell me how ,i dont know how to do that ??

Answer 42

ok i did man