a curve is defined by the parametric equations..

**decoy808** · March 29th 2009, 02:04 PM

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

**skeeter** · March 29th 2009, 02:33 PM

Originally Posted by decoy808

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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