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Question Number 94910 by mathocean1 last updated on 21/May/20

Solve in [0;2π]  2sin(4x−(π/6))≥1  Please sirs...

Solvein[0;2π]2sin(4xπ6)1Pleasesirs...

Answered by mr W last updated on 21/May/20

sin (4x−(π/6))≥(1/2)  2kπ+(π/6)≤4x−(π/6)≤2kπ+π−(π/6)  ⇒((kπ)/2)+(π/(12))≤x≤((kπ)/2)+(π/4) with k∈Z  within [0, 2π]:  (π/(12))≤x≤(π/4)  ((7π)/(12))≤x≤((3π)/4)  ((13π)/(12))≤x≤((5π)/4)  ((9π)/(12))≤x≤((7π)/4)

sin(4xπ6)122kπ+π64xπ62kπ+ππ6kπ2+π12xkπ2+π4withkZwithin[0,2π]:π12xπ47π12x3π413π12x5π49π12x7π4

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