A Quadratic Refinement

★ 8/10calculusMonotonicityinequality

Problem

If for every acute angle xx,

sin⁡x+tan⁡x−2x>mx2,\sin x + \tan x - 2x > mx^2,

find the range of possible values of the real number mm.

Answer

Solution

Difficulty8/10
Topicscalculus, Monotonicity, inequality

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