Problem

Problem

If [x][x] denotes the greatest integer less than or equal to xx then the equation sin⁡x=[1+sin⁡x]+[1−cos⁡x]\sin x = [1 + \sin x] + [1 - \cos x] has no solution in a. [−π2,π2]\left[-\frac{\pi}{2}, \frac{\pi}{2}\right] b. [π2,π]\left[\frac{\pi}{2}, \pi\right] c. [π,3π2]\left[\pi, \frac{3\pi}{2}\right] d. RR

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