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Official 2018 Paper 1 · Q18

Paper 1TrigonometryFunctions & graphs

What is the smallest positive value of aa for which the line x=ax=a is a line of symmetry of the graph of y=sin⁡(2x−4π3)y=\sin\left(2x-\frac{4\pi}3\right)?

Aπ12\frac\pi{12}
B5π12\frac{5\pi}{12}
C7π12\frac{7\pi}{12}
D11π12\frac{11\pi}{12}
E19π12\frac{19\pi}{12}

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