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Math Help - Finding the points of parallel tangents

  1. #1
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    Finding the points of parallel tangents

    Find the points on the graph of y = sec x, 0 ≤ x ≤ 2pi, where the tangent is parallel to the line 3y - 2x = 4.

    How exactly do i find this? I assume you take the derivative but then what? (if that's even correct)

    Thanks for any help! :P
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  2. #2
    MHF Contributor Calculus26's Avatar
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    the slope of the line 3y-2x = 4 is 2/3

    you want the pts where the derivative of sec(x) = sec(x)tan(x) = 2/3

    To solve convert to sines to obtain eqn

    2sin^(x) + 3sin(x) -2 = 0

    This is easily factored and solved
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