The motion of a point is described by

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

Problem

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

. Calculate

\dfrac{d^{2}y}{dx^{2}}

at the instant

t=\dfrac{\pi}{4}