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9709 P12 - Jun 2018 - Q10 - 8 marks
531

(i) Solve the equation \(2 \cos x + 3 \sin x = 0\), for \(0^\circ \leq x \leq 360^\circ\).

(ii) Sketch, on the same diagram, the graphs of \(y = 2 \cos x\) and \(y = -3 \sin x\) for \(0^\circ \leq x \leq 360^\circ\).

(iii) Use your answers to parts (i) and (ii) to find the set of values of \(x\) for \(0^\circ \leq x \leq 360^\circ\) for which \(2 \cos x + 3 \sin x > 0\).

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