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Math Help - Curve

  1. #1
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    Curve

    Identify the curve represented by the following parametric equations y = cotŘ + 1 and x = cot˛ Ř
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  2. #2
    Grand Panjandrum
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    Quote Originally Posted by cazimi View Post
    Identify the curve represented by the following parametric equations y = cotŘ + 1 and x = cot˛ Ř
    You can eliminate cot(phi) to get:

    x = (y-1)^2

    Which looks like a parabola which opens to the right.

    RonL
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  3. #3
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    Hello, cazimi!

    Identify the curve represented by: .y = cotθ + 1 .and .x = cot˛θ
    Here's what the Captain did . . .

    Rearrange the first equation: .cotθ .= .y - 1

    Substitute into the second equation: .x .= .(y - 1)˛


    We have: .(y - 1)˛ .= .x

    This is a parabola with vertex (0,1) which open to the right.

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