AP® Calculus AB-BC

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Difficult

Finding Tangent Lines with Parametric Curves

APCALC-EFNMKI

Find the tangent line to the parametric curve given by $x=\cos{t}$, $y=\sin{t}$ at the point:

$$\left( \cfrac{\sqrt{2}}{2},-\cfrac{\sqrt{2}}{2} \right)$$

A

$y=x-\cfrac{\sqrt{2}}{2}$

B

$y=x$

C

$y=x-\sqrt{2}$

D

$y=0$