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Juan Set 1 Paper 1 · Q22

Paper 1Trigonometry

Bonus question. Let 0<x<π20<x<\dfrac{\pi}{2} satisfy

2cos⁡2x+9sin⁡2x+2sin⁡(2x)=9.2\cos^2x+9\sin^2x+2\sin(2x)=9.

What is the value of cot⁡x\cot x?

A47\dfrac{4}{7}
B76\dfrac{7}{6}
C35\dfrac{3}{5}
D23\dfrac{2}{3}
E52\dfrac{5}{2}

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