Floors of Trig Sums

★ 6/10functions trigonometry Substitution Trigonometric Identities Casework

Problem

With $[\,\cdot\,]$ the floor function, find the range of

f(x) = \left[2\sin x\cos x\right] + \left[\sin x + \cos x\right].

Answer

Solution

Difficulty	6/10
Topics	functions, trigonometry, Substitution, Trigonometric Identities, Casework

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