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Differential Calculus

Blazing goIITian

Joined:	21 Dec 2007
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21 Jun 2008 18:14:19 IST

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1029

periodic functions

None

let the period of f(x) be T and period of g(x) be T1

now period of f(x) +g(x) will be equal to lcm of T and T1

but what is the period of f(x)/g(x)

how to find it??????????????????

Q. If the period of sin(nx) / tan(x/n) nbelongs to I

is 6pie

then

find n???????

well sin(nx) period is 2pie/n

tan(x/n) period is pie n

how to proceed from here

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Comments (6)

Nivedh Iyer

Blazing goIITian

Joined: 5 Jul 2007

Posts: 1236

21 Jun 2008 18:29:42 IST

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Wats de ans ????????

Hari Shankar

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Joined: 28 Feb 2007

Posts: 2173

21 Jun 2008 18:35:05 IST

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But he has already given the period. Why dont you just substitute it to find n?

BALGANESH

Blazing goIITian

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21 Jun 2008 20:23:30 IST

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ok sir
then can u plzz answer my first question
let the period of f(x) be T and period of g(x) be T1

now period of f(x) +g(x) will be equal to lcm of T and T1

but what is the period of f(x)/g(x)

how to find it??????????????????

BALGANESH

Blazing goIITian

Joined: 21 Dec 2007

Posts: 1025

25 Jun 2008 19:40:34 IST

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plzzz someone answer it

BALGANESH

Blazing goIITian

Joined: 21 Dec 2007

Posts: 1025

27 Jun 2008 16:23:37 IST

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is there no one ?????????

SUNDEEP ALLAMRAJU

Blazing goIITian

Joined: 28 Feb 2008

Posts: 1014

27 Jun 2008 17:11:11 IST

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I'm not too sure but I think the period of f(x)/g(x) is once again lcm of periods of f(x),g(x).For example,Let us take the problem that you have given,

The period of sin(nx) is 2pi/n and that of tan(x/n) is npi.Now,the lcm of 2pi/n and npi is 2npi which is given to be 6pi.Hence,the value of n is 3.

Is the answer correct?

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