Mathematics 9709 · AS & A Level · Trigonometry

Trigonometry — practice question

(i)[3]

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

(ii)[3]

On the same axes, sketch the graphs of $y = 2\cos x$ and $y = -3\sin x$ for $0^\circ \leq x \leq 360^\circ$.

(iii)[2]

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

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