Let $[x]$ denote the greatest integer less than or equal to $x$. Then $f(x) = \frac{1 + \sin([\cos x])}{\cos([\sin x])}$ is
- Acontinuous on $\left(0, \frac{\pi}{2}\right)$
- Bcontinuous on $(0, \pi)$
- Cdiscontinuous on $\left(\pi, \frac{3\pi}{2}\right)$
- Dcontinuous on $(\pi, 2\pi)$
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