Identify the correct transformation that maps the graph of to the graph of .

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

Problem

Identify the correct transformation that maps the graph of

y=\sin x

to the graph of

y=\cos x

. (a) Shift

\pi

units to the left along the

x

\,-axis (b) Shift

\dfrac{\pi}{2}

units to the left along the

x

\,-axis (c) Shift

\dfrac{\pi}{2}

units to the right along the

x

\,-axis (d) Reflect the graph in the

x

\,-axis