Let for . What is the slope of the tangent line to the curve when…

MATHEMATICS · Single correct · AP · Calculus BC · Parametric, Polar, and Vector-Valued Functions · Parametric, Polar, and Vector-Valued Functions

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}

(b)

-2\sqrt{3}

(c)

-\sqrt{3}

(d)

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