Mathematics

Problem

Let

\mathbf r(t)=\langle \sin t,\cos 2t\rangle

for

0\le t\le\pi

. What is the slope of the tangent line to the curve when

t=\pi/3

? a)

2\sqrt{3}

-2\sqrt{3}

-\sqrt{3}

-\dfrac{\sqrt{3}}{2}