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Math Help - Tangent Lines

  1. #1
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    Tangent Lines

    I am stuck on a homework question, any help would be appriciated

    Find all points on the curce y=cos(x), ( on the interval 0 greater than or equal to x less than or equal to 2pi), where the tangent line is parallel to the line y=x
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  2. #2
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    Quote Originally Posted by Starfire6052 View Post
    I am stuck on a homework question, any help would be appriciated

    Find all points on the curce y=cos(x), ( on the interval 0 greater than or equal to x less than or equal to 2pi), where the tangent line is parallel to the line y=x


    So you want all the lines with slope equal to 1 so you want all the points on the curve with

    derivative equal to 1 so you want \displaystyle{y'=-\sin x=1\iff x=\frac{3\pi}{2}\Longrightarrow \left(\frac{3\pi}{2}\,,\,0\right) is

    the only point.

    Tonio
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