For , the parametric equations and describe a curve. Determine the coordinates of…

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

Problem

For

0\le t\le 2\pi

, the parametric equations

x(t)=\sin(2t)

and

y(t)=\cos t

describe a curve. Determine the coordinates of every point on the curve where the tangent line is vertical.