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Discussion Response Post to: period of function

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Titun (1467)

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total posts: 374
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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 !

You never know what is enough till you know what is more than enough. Titun

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