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The basic cosine function is bounded by -1 and 1. It is a periodic function with a period of 2*pi radians (360 degrees).

cos(0) = 1, cos(pi/2) = 0, cos(pi) = -1, cos(3pi/2) = 0, cos(pi) = 1. In between these values it forms a smooth curve. Also, it may help to understand that when the curve crosses the x-axis, its slope is 1 or -1.

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Q: What are the important points you are to use in graphing the cosine function?
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Why is graphing a good took for representing data?

It gives a good visual represtation. like in pre-calculus graphing is important because it helps to determine the domian and range of sin, cosine, and tangent waves and helps with points. but overall its easier to see and understand


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It is important for beginners because the coordinates of the graphing points are measured from the origin. More expert users don't need to do so.


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It doesn't really. Depending on the exact value of the argument, the cosine function can give both positive and negative results, for a negative argument. As to "why" the sine, or cosine, functions have certain values, just look at the function definition. Take points on a unit circle. The sine represents the y-coordinate for any point on the circle, while the cosine represents the x-coordinate for such a point. (There are also other ways to define the sine and the cosine functions.)


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