For the parametric equations and

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

Problem

For the parametric equations

x=\sin t

and

y=\cos t

, determine

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

as a function of

t

. (a)

\sec^{3} t

(b)

-\sec^{2} t

(c)

-\sec^{3} t

(d)

-\sec t\tan t

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