Consider the parametric curve

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

Problem

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

. (i) Find all values of

t

in the interval

0< t<2\pi

for which the tangent is horizontal. (ii) Write the coordinates of the corresponding points on the curve.