Mathematics 9709 · AS & A Level · Trigonometry

Trigonometry — practice question

(i)[5]

Solve $\sin 2x + 3\cos 2x = 0$ within the interval $0^\circ \leq x \leq 360^\circ$.

(ii)[1]

How many solutions does $\sin 2x + 3\cos 2x = 0$ have for $0^\circ \leq x \leq 1080^\circ$?

Worked solution & mark scheme

This 6-mark question has a full step-by-step worked solution and mark scheme. One marking point: Use the $\tan2x$ substitution for $\sin2x+3\cos2x=0$

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