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Math Help - Find sine function through two points.

  1. #1
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    Find sine function through two points.

    Write an equation of the form whose graph is the sine wave shown above. The curve goes through the points and .

    I forget how to do this.
    Last edited by mr fantastic; May 18th 2011 at 05:01 AM. Reason: Re-titled.
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  2. #2
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    There is more than one possible solution here that I can see.

    I'm happy to help but we need to focus on the one you require. First thing to do is draw a sine function that goes through these 2 points.

    I have one in mind. It has the y-intercept at (0,4) and half way through the cycle returns to (2,4). Can you draw a picture of that?

    If so what is the period of the function?
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  3. #3
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    You need to show us the actual graph, there are many many many many sine curves which pass through those two points (example: y = sin(0.5 \pi x) + 4).

    Is the method not in your class notes or text book?

    Edit pickslides was faster :P
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  4. #4
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    I can't add an image, I don't know why but it doesn't show.
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  6. #6
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    Thanks for the link, the question now has only one solution. Looking at the graph, what is P the period?

    You can then find B given \displaystyle \frac{2\pi}{B} = P
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  7. #7
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    There is still an infinite number of possible functions.

    Here's one of them: . f(x) \:=\:-3\sin(\pi x) + 4

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