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If 2cos^2θ+sinθ≤2, then exhaustive set of the inequality in θ∈[π/2,3π/2]. Find the required values of theta.
Dear student 2 – 2 sin2 x + sin x – 2 2 sin2x – sinx >=0 2 sin x (sinx – 1/2) >=0 hence sin x belongs to [- 1, 1/2] U [0, 1] now you can find angles
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