Find the coefficient of in the Maclaurin series of .

MATHEMATICS · Single correct · AP · Calculus BC · Infinite Sequences and Series · Infinite Sequences and Series

Problem

Find the coefficient of

x^{10}

in the Maclaurin series of

(\sin x)^{2}

. (a)

\dfrac{4}{14\,175}

(b)

\dfrac{1}{14\,175}

(c)

\dfrac{2}{14\,175}

(d)

\dfrac{1}{15\,120}