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Official 2019 Paper 1 · Q17

Paper 1TrigonometryAlgebra

Find the fraction of the interval 0≤θ≤π0\leq\theta\leq\pi for which the inequality

(sin⁡(2θ)−12)(sin⁡θ−cos⁡θ)≥0\left(\sin(2\theta)-\frac12\right)(\sin\theta-\cos\theta)\geq0

is satisfied.

A112\frac1{12}
B16\frac16
C14\frac14
D512\frac5{12}
E712\frac7{12}
F34\frac34
G56\frac56
H1112\frac{11}{12}

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