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Official 2019 Paper 1 · Q14

Paper 1TrigonometryAlgebra

xx satisfies the simultaneous equations

sin⁡2x+3cos⁡2x=−1\sin2x+\sqrt3\cos2x=-1

and

3sin⁡2x−cos⁡2x=3\sqrt3\sin2x-\cos2x=\sqrt3

where 0∘≤x≤360∘0^\circ\leq x\leq360^\circ.

Find the sum of the possible values of xx.

A210∘210^\circ
B330∘330^\circ
C390∘390^\circ
D660∘660^\circ
E780∘780^\circ
F930∘930^\circ

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