The motion of a point in the plane is described by and for

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

Problem

The motion of a point in the plane is described by

x=\sin t

and

y=t^{2}+t

for

0<t<\pi

. Determine the equation of the tangent line to the curve at

t=\dfrac{\pi}{6}