For , establish the double inequality . Present a complete proof, justifying every…

MATHEMATICS · Subjective · AP · Calculus AB · Limits and Continuity · Limits and Continuity

Problem

For x∈(0,π2)x\in\left(0,\dfrac{\pi}{2}\right), establish the double inequality sin⁡x<x<tan⁡x\sin x < x < \tan x. Present a complete proof, justifying every step of your argument.

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