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Juan Set 2 Paper 1 · Q21

Paper 1TrigonometryAlgebra

Bonus question. Let 0≤x≤π0\le x\le\pi satisfy

2sin⁡(4x)−cos⁡(8x)=1.\sqrt{2}\sin(4x)-\cos(8x)=1.

What is the sum of the values of xx that satisfy this equation?

Aπ3\dfrac{\pi}{3}
B3π4\dfrac{3\pi}{4}
Cπ\pi
D3π2\dfrac{3\pi}{2}
E2π2\pi

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