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Math Help - Demonstrate Period of trigonometric functions?

  1. #1
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    Demonstrate Period of trigonometric functions?

    Demonstrate Period of trigonometric functions?

    Prove that if f and g are periodic with period p, then f/g is also periodic,
    but its period could be smaller than p.

    Help me, Ido not know how complete this exercise, what I should do here, can someone please explain?
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  2. #2
    MHF Contributor

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    Re: Demonstrate Period of trigonometric functions?

    You know the definition of "periodic" don't you? If f is periodic with period p, then f(x+ p)= f(x) for all x. If g is periodic with periodic p, then g(x+ p)= g(x) for all x.

    So what can you say about \frac{f}{g}(x+ p)= \frac{f(x+ p)}{g(x+ p)}?
    Thanks from aser03 and MarkFL
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