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Algebra

Blazing goIITian

Joined:	31 May 2007
Post:	520

22 Jul 2007 18:04:20 IST

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1109

period of function

None

f(x)=sin(2x/3)+sin(3x/2)

find the period of this function

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Titun

Forum Expert

Joined: 23 Dec 2006

Posts: 374

22 Jul 2007 20:59:57 IST

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If the period of a function g(x) is T , then the period of the function g(ax) is T/a (where 'a' is not equal to zero.)

The period of the function sinx is 2

.

Therefore, period of the function sin (2x/3) is 2

/ (2/3) i.e 3

Similarly, period of the function sin (3x/2) is 2

/ (3/2) i.e 4

/3

Therefore, period of the function,

f (x) = sin (2x/3) + sin (3x/2) will be the L.C.M of the periods of the functions sin (2x/3) and sin (3x/2) i.e L.C.M of 3

and 4

/3 i.e 12

Ans: 12

Cheers !

vizay soni

Blazing goIITian

Joined: 31 May 2007

Posts: 520

23 Jul 2007 08:56:19 IST

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thaxxxxx

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