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OxbridgeMind TMUA Paper 2 · Q5

Paper 2Trigonometry

It is given that y=(1+2sin⁡x)sin⁡2xy=(1+2\sin x)\sin2x for 0<x<3π20<x<\dfrac{3\pi}2.

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

Aπ2<x<3π2\frac\pi2<x<\frac{3\pi}2
B0<x<π0<x<\pi
Cπ2<x<π\frac\pi2<x<\pi or 7π6<x<3π2\frac{7\pi}6<x<\frac{3\pi}2
Dπ2<x<7π6\frac\pi2<x<\frac{7\pi}6
E0<x<π40<x<\frac\pi4 or π2<x<3π2\frac\pi2<x<\frac{3\pi}2

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