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Math Help - parametric equation

  1. #1
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    Talking parametric equation

    Show by eliminating the parameter \theta that the following parametric equations represent a hyperbola:

    <br />
x = a\tan\theta<br />

    <br />
y = b\sec\theta<br />

    Not really sure how to even start this problem. Any help would be appreciated!
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  2. #2
    Super Member
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    Quote Originally Posted by kevin11 View Post
    Show by eliminating the parameter \theta that the following parametric equations represent a hyperbola:

    <br />
x = a\tan\theta<br />

    <br />
y = b\sec\theta<br />

    Not really sure how to even start this problem. Any help would be appreciated!
    x^2 = a^2\tan^2\theta

    y^2 = b^2\sec^2\theta

    Use the identity \sec^2\theta - tan^2\theta = 1

    Solve the problem.
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