For the curve on the interval

MATHEMATICS · Subjective · AP · AP Precalculus · Functions with Parameters, Vectors, and Matrices · Functions with Parameters, Vectors, and Matrices

Problem

For the curve

x=2\sin t,\;y=\cos 2t

on the interval

0\le t\le 2\pi

, determine all values of

t

for which the tangent is horizontal. Also write the coordinates of each such point.