At which value of in the interval is the tangent to the curve horizontal?

MATHEMATICS · Single correct · A Level · Mathematics · Differentiation · Differentiation

Problem

At which value of

x

in the interval

(0,\pi)

is the tangent to the curve

y=\sin x

horizontal? (a)

\dfrac{\pi}{4}

(b)

\dfrac{3\pi}{4}

(c)

\dfrac{\pi}{2}

(d)

\dfrac{\pi}{3}