If \( [x] \) denotes the greatest integer less than or equal to \( ...

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If \( [x] \) denotes the greatest integer less than or equal to \( x \) then the equation \( \sin x=[1+\sin x]+[1-\cos x] \) has no
P solution in

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(a) \( \left[-\frac{\pi}{2}, \frac{\pi}{2}\right] \)
(b) \( \left[\frac{\pi}{2}, \pi\right] \)
(c) \( \left[\pi, \frac{3 \pi}{2}\right] \)
(d) \( R \)
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