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Math Help - Calculus help

  1. #1
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    Calculus help

    Find parametric equations for the tangent line at the point
    on the curve
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  2. #2
    Eater of Worlds
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    Find the parametric equation of the line tangent to

    r(t)=cos(t)i+sin(t)j+tk at the point t=\frac{\pi}{3}.
    r'(t)=-sin(t)i+cos(t)j+k

    ||r'(t)||=\sqrt{sin^{2}(t)+cos^{2}(t)+1}=\sqrt{2}

    The unit tangent vector is:

    T(t)=\frac{r'(t)}{||r'(t)||}

    Then sub in t=\frac{\pi}{3}

    Use the direction numbers and the point (x_{1},y_{1},z_{1}) to find the parametric equations of the line.
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  3. #3
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    what points am i supposed to se for (x, y, z)? Thanks!
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