Mathematics

Problem

A curve is given by

x(t)=2\cos t

and

y(t)=2\sin t

for

0\le t<2\pi

. The point

(1,\sqrt{3})

lies on the curve. Determine the slope

\dfrac{dy}{dx}

of the curve at this point. a)

\sqrt{3}

-\dfrac{1}{\sqrt{3}}

-\sqrt{3}

\dfrac{1}{\sqrt{3}}