A trigonometric function attains its maximum value at

MATHEMATICS · Single correct · AP · AP Precalculus · Trigonometric and Polar Functions · Trigonometric and Polar Functions

Problem

A trigonometric function

y=f(x)

attains its maximum value

1

x=0

, has its next zero at

x=\dfrac{\pi}{2}

, and its graph is symmetric about the

y

-axis. Which of the following could be

f(x)

? (a)

-\cos x

(b)

\cos 2x

(c)

\cos x

(d)

\sin x