A：$\forall x\in (0,\frac{\mathrm{\pi }}{2},\sin x>x$

B：$\exists x\in (0,\frac{\mathrm{\pi }}{2},\sin x<x$

C：$\exists x\in (0,\frac{\mathrm{\pi }}{2},\sin x\ge x$

D：$\forall x\in (0,\frac{\mathrm{\pi }}{2},\sin x\ge x$