For the curve defined parametrically by and

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

Problem

For the curve defined parametrically by

x=t^{2}+3

and

y=\sin t

, the tangent is horizontal when

t

equals (a) \pi (b) 0 (c) \dfrac{\pi}{2} (d) \dfrac{\pi}{4}