Consider the parametric equations and for

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

Problem

Consider the parametric equations

x(t)=t^{2}-4t

and

y(t)=\sin t

for

0\le t\le 4\pi

. Determine all values of

t

in this interval at which the curve has a horizontal tangent line.