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Math Help - Picturing a hyperbola with the information given.

  1. #1
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    Picturing a hyperbola with the information given.

    I don't know how to draw or visualize the hyperbola with the below information. Would love a step by step guide if possible.

    Sketch the hyperbola, showing the asymptotes, the point P and the tangent at P.

    The Hyperbola is in R^2.

    It is described by the below parametric equations.

    x = sec t, y = 2 tan t (t ∈ (-π/2 , π/2) U ( π/2 , (3π)/2)

    The coordinates of point P, where t = π/3, are ( 2 , 2*sqrt3)

    y = (((4rt3)(x))/3) - ((2rt3)/3) is the equation of the tangent line.

    the asymptotes are
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  2. #2
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    Re: Picturing a hyperbola with the information given.

    Here's the graph. What specific question about it do you have?

    Picturing a hyperbola with the information given.-mhfgraph3.png
    Thanks from jezb5
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  3. #3
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    Re: Picturing a hyperbola with the information given.

    Quote Originally Posted by johng View Post
    Here's the graph. What specific question about it do you have?

    Click image for larger version. 

Name:	MHFgraph3.png 
Views:	2 
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ID:	26947
    I just wanted to know what it looked like as couldn't picture it
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