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Official 2017 Paper 1 · Q8

Paper 1Trigonometry

Find the complete set of values of xx, with 0≤x≤π0\leq x\leq\pi, for which

(1−2sin⁡x)cos⁡x≥0(1-2\sin x)\cos x\geq0
A0≤x≤π6,π2≤x≤5π60\leq x\leq\frac\pi6,\quad\frac\pi2\leq x\leq\frac{5\pi}6
B0≤x≤π6,5π6≤x≤π0\leq x\leq\frac\pi6,\quad\frac{5\pi}6\leq x\leq\pi
Cπ6≤x≤π2,5π6≤x≤π\frac\pi6\leq x\leq\frac\pi2,\quad\frac{5\pi}6\leq x\leq\pi
Dπ6≤x≤5π6\frac\pi6\leq x\leq\frac{5\pi}6

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