Monday, February 4, 2013

Pre Cal: Why are the Vertical Asymptotes important in the Tan and Cot function? How does the Sin and Cos functions effect the Tan and Cot funtions when graphing?

21 comments:

  1. Hi im Greg Franklin this is my answer.
    The most important thing about rational functions is that you're never ever allowed to divide by zero; hence, the first thing we'll do in every problem is set the denominator equal to zero.

    They are used to relate the angles of a triangle to the lengths of the sides of a triangle. Trigonometric functions are important in the study of triangles and modeling periodic phenomena, among many other applications.

    ok im finished ^_^

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  2. Vertical asymptotes are important important because they set the position of the graph. The sin and cos effect the tan and cot graphs because they tell how far the x-axis point are from each other.

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  3. Vertical Asymptotes are important because it tells you where the zeros of the graph are located. Vertical Asymptotes lets you know where the function ends and begans. Graphing the sin function effects the cotangent because it tells you the zeros (vertical asymptotes) for that function. Graphing the cosine function effects the tangent because it tells you the zeros (vertical asymptotes) of that function. So when you think about it all of them (Vertical Asymptotes,sin,cos,cot,and tan) afe important.

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  4. Tiara Collins

    Vertical Asymptotes are important because they help indicate where the zeros of the cotangent or tangent functions are.The points where the Vertical Asymptotes lie show the function is undefined in that area. The cosine and sine function is affected by the tangent and cotangent because they indicate the start and ending of the graph.

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  5. Vertical asymptotes are important in the tangent and cotangent functions, because first tan and cot are reciprocals of each other, but the vertical asymptotes help direct the position of the graph. The sine and cosecant functions effect the tangent and cotangent when graphing, because the domains and ranges remain the same, so their going to stay within [-1,1] and [-pi/2,pi/2].Think of reciprocals, the same rules apply, whatever one does the other reflects it.

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  6. Vertical asymptotes are important in both tangent and cotangent functions because the asymptotes help with the functions begin and end. The sine and cosine functions effect the cotangent and tangent functions by telling you the vertical asymptotes for the tan. and cot. functions.
    Jalyn Jackson

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  7. Vertical Asymptotes are important in tangent and cotangent functions because they tell the zeros as they approach infinity.Tangent and cotangent functions are the inverses of each other. Sine and cosine functions effect the tangent and cotangent functions when graphing because when are graphing the functions it help you to determine the functions. They all run hand and hand

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  8. The vertical asymptotes are important in the tangent and cotangent function becuase it gives you the direction in which your graph will start and end. Also because tangent and cotangent are reciprocals the vertical asymptotes let you know that it will be the intercepts of the opposite function.(the asymptotes of tan(x)= the x-intecepts of cot(x).

    Sine and cosine function effect tangent and cotangent functions when graphing by cosine x-intercepts indicating the zeros of tangent and cotangent functions and by sine creating the intervals in which the funtions appear.

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  9. the vertical asymptotes are at each end of the cycle. the Sin and Cos functions are the range and domain of tangent and tangent is the opposite of cotangent.

    Terreste Glass

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  10. Your vertical asymptotes are very important when graphing tangent and cotangent functions because they allow you too find your zeros of that specific function. It also allows you to figure out the increment in which your graph will begin and finish. Sine and cosine functions help you to figure out the things needed to graph tangent and cotangent this produces the way in which the graph will look.
    Taylor Cromwell 7th period

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  11. jared brown 2 p2

    the vertical asymptotes help with graphing your functions.some times it depends on your data that can also determine the out come of your asymptotes.

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  12. The vertical aymptotes are important in the graphing of the tangent and cotangent functions. This is because asymptotes tell where the function begins and ends. In addition, the sine and cosine functions effect the tan and cot when graphing because cosine x-intercepts tells the zeros of tangent and cotangent functions and sine tells the intervals that the funtions appear.
    TIARA THOMAS

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  13. Vertical asymptomes are important in graphing a tan and cotan fuctions because the help to identify the beginning and ending point of the graph.The Sin and Cos functions effect the Tan and Cot funtions when graphing because the sin and cos functions help you find your zeros and create intervals.

    Maya Williams

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  14. Vertical asymptotes are important important because they set the position of the graph. It also allows you to figure out the increment in which your graph will begin and finish.The sine and cosine functions effect the cotangent and tangent functions by telling you the vertical asymptotes for the tan.

    -Anthony Davis

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  15. The vertical aymptotes are important in the graphing of the tangent and cotangent functions.its because it let you know that it will be the intercepts of the opposite function.They're also used to relate the angles of a triangle to the lengths of the sides of a triangle.

    - Fletcher Briggs

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  16. DeVante Roberts

    Vertical Asymptotes are important because it tells you where the zeros are on a graph. It tells where the function ends and begans. Graphing the sin and cos function effects Cot because it tells you vertical asymptotes for that function.So the vertical asymptotes,sin,cos,cot,and tan are important.

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