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Viluxent Set 1 Paper 1 · Q2

Paper 1Trigonometry

How many values of x∈[0,2π]x\in[0,2\pi] satisfy both

4sin⁡2x−4sin⁡xcos⁡x+cos⁡2x=04\sin^2x-4\sin x\cos x+\cos^2x=0

and

2sin⁡2x+3sin⁡xcos⁡x−2cos⁡2x=02\sin^2x+3\sin x\cos x-2\cos^2x=0

simultaneously?

A00
B11
C22
D33
E44
F66

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