For the parametric curve and

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

Problem

For the parametric curve

x=2\sin t+t

and

y=3\cos t

, determine all values of

t

in the interval

0\le t<2\pi

for which the tangent is vertical. State the corresponding points on the curve.