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Math Help - Finding the period of sin function

  1. #1
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    Finding the period of sin function

    g(x) = sin(0.5x)

    I'm supposed to find the period of this function. But I don't know how.

    I think that the periodic is supposed to be on the outside of the bracket, like sinP(x-1) or something like that. But i'm not sure how to change it into that form.
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  2. #2
    Super Member Bacterius's Avatar
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    sin(0.5x) = sin(0.5x + 2 \pi)

    Factorize :

    sin(0.5x + 2 \pi) = sin[0.5(x + 4 \pi)]

    Thus the period of this function is 4 \pi
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  3. #3
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    Why do you put +2pi?
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  4. #4
    Super Member Bacterius's Avatar
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    Erm sorry + 2kpi, with k in Z.
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