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Beyond Horizon Set 2 Paper 1 · Q3

Paper 1Trigonometry

It is given that

y=(1+cos⁡x)sin⁡3xfor 0<x<πy=(1+\cos x)\sin 3x\qquad\text{for }0<x<\pi

The complete set of values of xx for which yy is negative is:

A0<x<π60<x<\frac{\pi}{6}
B0<x<π30<x<\frac{\pi}{3}
Cπ3<x<2π3\frac{\pi}{3}<x<\frac{2\pi}{3}
D2π3<x<π\frac{2\pi}{3}<x<\pi
E0<x<π20<x<\frac{\pi}{2}
Fπ6<x<π2\frac{\pi}{6}<x<\frac{\pi}{2}

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