Grade 11Trigonometry
If 2cos^2θ+sinθ≤2, then exhaustive set of the inequality in θ∈[π/2,3π/2]. Find the required values of theta.
If 2cos^2θ+sinθ≤2, then exhaustive set of the inequality in θ∈[π/2,3π/2]. Find the required values of theta.
1 Answer
Arun
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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