Mathematics 9709 · AS & A Level · Trigonometry

Trigonometry — practice question

(i)[2]

Write $3\sin\theta = \cos\theta$ in the form $\tan\theta = k$ and find the solutions when $0^{\circ} < \theta < 180^{\circ}$.

(ii)[4]

Solve $3\sin^2 2x = \cos^2 2x$ in the range $0^{\circ} < x < 180^{\circ}$.

Worked solution & mark scheme

This 6-mark question has a full step-by-step worked solution and mark scheme. One marking point: “Correct use of $\tan\theta=\tfrac{1}{3}$” …