Explain why the function defined by is not one–one on

MATHEMATICS · Subjective · CBSE · Mathematics · Relations and Functions · Relations and Functions

Problem

Explain why the function

f:\mathbb R\to\mathbb R

defined by

f(x)=\sin x

is not one–one on

\mathbb R

, but becomes one–one when its domain is restricted to

[-\pi/2,\,\pi/2]