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Determine all solutions of the equation $\sin(\theta + 45^{\circ}) = 2\cos(\theta - 30^{\circ})$ in the interval $0^{\circ} < \theta < 180^{\circ}$.
Mathematics 9709 · AS & A Level · Trigonometry
Trigonometry — practice question
Worked solution & mark scheme
This 5-mark question has a full step-by-step worked solution and mark scheme. One marking point: “Make use of the $\sin(A+B)$ and $\cos(A-B)$ formulae to produce an equation involving $\cos\theta$ and $\sin\theta$” …
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