Y= Tan X Graph

Discussion in 'Education & Learning' started by Hal Pollner, Feb 13, 2021.

  1. Hal Pollner

    Hal Pollner Veteran Member
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    Please graph the function Y=Tan X.

    Asymptotes will be used!

    (Probably only Frank Sanoica and Faye Fox will be able to draw the graph)

    Hal
     
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    Last edited: Feb 13, 2021
  2. Hal Pollner

    Hal Pollner Veteran Member
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    The only thing that will remain forever constant is Ohm's Law.
     
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  3. John Brunner

    John Brunner Veteran Member
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    But what about Kirchhoff?
     
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  4. Al Amoling

    Al Amoling Veteran Member
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    Who cares about this Hal.....Most of us haven't been to middle school in alf century
     
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  5. Hugh Manely

    Hugh Manely Very Well-Known Member
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    upload_2021-2-13_16-31-56.png

    Why, out of curiosity do you need the graph? Asymptotes occur at every odd integral multiple of pi/2
    Any trig student should know that.
     
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  6. Hal Pollner

    Hal Pollner Veteran Member
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    Yes, Hugh...I've always thought that any asymptote has that "magical" quality of being
    "untouchable" no matter how close a curve gets to it!

    It's just one of those unbreakable rules in Mathematics, such as dividing by Zero...It's undefined!

    Hal (Algebra, Geometry, and Trig in High School...Calculus in College.)
     
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  7. Hal Pollner

    Hal Pollner Veteran Member
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    Here's a math puzzle:

    Under what conditions do the numbers 1, 10, 100, and 1000
    have the same numerical value?

    (I made this one up myself)
     
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  8. Frank Sanoica

    Frank Sanoica Veteran Member
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    Even more interesting: Y = arc Tan X

    Also asymptotic, it's theorized the extreme y-values meet at X = infinity.

    Worse, how about a matrix of numbers, like:

    [​IMG]

    These are quite valuable at solving linear equations such as:

    x + 2y = 10
    3x - 7y= 17
    -2x + y = 28

    Other means are available, such as "substitution". However, in Linear Algebra, I was hit with matrices having numbers of columns and rows approaching infinity! My worst of all Math courses.

    Frank
     
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  9. Hal Pollner

    Hal Pollner Veteran Member
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    To respond to Al 's comment, I realize that asymptotes are just dust under the rug for most of us, but I happen to find mathematical oddities fascinating as to what they represent in the real world!

    For example, the simple, innocent expression Y=X/0 represents a number so great as to be unimaginable, and this I find very interesting!

    Also, the expression "Parallel lines meet at infinity" is just as correct as saying they "never meet", which is how most of us see it.
    H.P.
     
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  10. Hal Pollner

    Hal Pollner Veteran Member
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    You got me there, Frank!

    I was never introduced to matrices.
     
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  11. Nancy Hart

    Nancy Hart Veteran Member
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  12. John Brunner

    John Brunner Veteran Member
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    It's been years since I've played with puzzles like this.
     
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  13. Hugh Manely

    Hugh Manely Very Well-Known Member
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    Frank's set of equations can't be solved:
    x + 2y = 10
    3x - 7y= 17
    -2x + y = 28

    You have more equations than variables. For example x =8, y=1 would solve the first 2, but would yield -15 = 28 in the third, so clearly, no solution.
     
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  14. Shirley Martin

    Shirley Martin Supreme Member
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    I think you all are show offs. :p
     
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  15. Hugh Manely

    Hugh Manely Very Well-Known Member
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    No, its just fun to do math.

    Also, you can have asymptotes that are not vertical, such as this: the graph of y = (x^2 +1)/(x - 1) or alternately y = x + (x + 1)/(x - 1) , so we can see that there is an oblique asymptote.

    upload_2021-2-14_17-15-22.png
     
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