Let the function $f: \mathbb{R} \rightarrow \mathbb{R}$ be defined as
$f(x)=[\sin x]$
where for any real number $t,[t]$ denotes the greatest integer not exceeding $t$. Then $f$ is continuous at

• A

  $\frac{\pi}{2}$
• B

  $\pi$
• Correct answer
  C

  $\frac{3 \pi}{2}$
• D

  $2 \pi$

Hence, the correct answer is option: 'C'.