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Math Help - a curve is defined by the parametric equations..

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    a curve is defined by the parametric equations..

    a curve is defined by the parametric equations.....

    x=2sint , y=Cost

    (a) find the co-ordinates of the point P on the curve for which t= \pi/4

    (b) (i) find dy/dx in terms of t

    (ii) hence find the gradient of a curve at P


    any help much appreciated
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    Quote Originally Posted by decoy808 View Post
    a curve is defined by the parametric equations.....

    x=2sint , y=Cost

    (a) find the co-ordinates of the point P on the curve for which t= \pi/4

    (b) (i) find dy/dx in terms of t


    (ii) hence find the gradient of a curve at P

    part(a) is basic ... just plug in \frac{\pi}{4} for t and evaluate x and y

    part (b) ... \frac{dy}{dx} = \frac{\frac{dy}{dt}}{\frac{dx}{dt}}, then evaluate for t = \frac{\pi}{4}
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