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Math Help - graphing of sin and cos

  1. #1
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    graphing of sin and cos

    Hello guys can you help me identify the parts of the this functions

    A) -5 sin x/2

    What I know about this function is the amplitude which is 5 and it is reflected to the x axis. But I dont know what does the x/2 mean in the function.

    B) -3 cos 2pi x


    thanks in advanced
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  2. #2
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    The x/2 just increases the period. The normal period is [0,2pi], but the x/2 makes it [0, 4pi]. 2x would make it [0,pi] etc.
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  3. #3
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    That makes sense. Thank you very much for your help.

    Godbless
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  4. #4
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    A way of seeing that in general is to think "the period of sin(t) is 2\pi so the period of sin(a) is given by a= 2\pi" where a is any expression. Here a= x/2 so x/2= 2\pi gives x= 4\pi as the period.
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  5. #5
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    so since the period of sin is 2pi its was divided x/2 in order to get 4pi? is this correct?
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