For $0 \leq x \leq 2 \pi$, the number of real solutions of the equation $[\sin x]=[1+\sin x]+[1-\cos

Question

For $0 \leq x \leq 2 \pi$, the number of real solutions of the equation $[\sin x]=[1+\sin x]+[1-\cos x]$ is

Professor PC Thomas Classes · Answer

Analyze step function properties with trigonometric bounds. Only one intersection satisfies integer criteria.