\( \mathrm{f}[\sin x]+[\sqrt{2} \cos x]=-3, x \in[0,2 \pi] \), (whe...

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\( \mathrm{f}[\sin x]+[\sqrt{2} \cos x]=-3, x \in[0,2 \pi] \), (where, [.] denotes he greatest integer function), then
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a) \( x \in\left(\pi, \frac{5 \pi}{4}\right) \)
(b) \( x \in\left(\pi, \frac{7 \pi}{6}\right) \)
c) \( x \in\left[\pi, \frac{5 \pi}{4}\right] \)
(d) None of these
\( -\sin x \)
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