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Math Help - Unit Circle and Sine function

  1. #1
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    Unit Circle and Sine function

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    I have completed the activity unfolding the unit circle to make the Sine curve. So I know that the heights from the radius in the circle become the height of the curve. The angle measure moves me along the axes for the curve. What is the radius of the circle is the first question. Well its one unit, but I do not know what else they mean or want?

    Thank you
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  2. #2
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    Quote Originally Posted by IDontunderstand View Post
    Activity can be found; Powered by Google Docs

    I have completed the activity unfolding the unit circle to make the Sine curve. So I know that the heights from the radius in the circle become the height of the curve. The angle measure moves me along the axes for the curve. What is the radius of the circle is the first question. Well its one unit, but I do not know what else they mean or want?

    Thank you
    I'm just guessing ...

    Look at the question #8 where you are asked to build triangles. From the text of this question I assume that you should build right triangles where the radius is the hypotenuse.

    The radius is a kind of pointer (or the hand of a clock). You can adjust this pointer to a certain angle. Then the direction of this pointer is determined by the vertical (<-- that's the sine value) and horizontal part.
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  3. #3
    MHF Contributor ebaines's Avatar
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    The radius of the circle is one piece of spaghetti.
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  4. #4
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    Yes you are suppose to build right triangles. The height is determined by the location your are at on the circle. The perpendicular piece is the Sine height, and the horizontal piece would represent the Cosine distance. So do you think we are able to say that the radius represents the distance from the origin on the sine wave graph? The radius points at the degree/ radian measure. Then the height/ width correspond to the measure of theta.
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