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Official 2016 Paper 2 · Q3

Paper 2TrigonometryGeometryFunctions & graphsAlgebra

What is the value, in radians, of the largest angle xx in the range 0≤x≤2π0\le x\le2\pi that satisfies the equation 8sin⁡2x+4cos⁡2x=78\sin^2x+4\cos^2x=7?

A2π3\dfrac{2\pi}{3}
B5π6\dfrac{5\pi}{6}
C4π3\dfrac{4\pi}{3}
D5π3\dfrac{5\pi}{3}
E7π4\dfrac{7\pi}{4}
F11π6\dfrac{11\pi}{6}

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