Mathematics 9709 · AS & A Level · Trigonometry

Trigonometry — practice question

(i)[3]

Prove the identity $\frac{\cos\theta}{\tan\theta(1 - \sin\theta)} = 1 + \frac{1}{\sin\theta}$.

(ii)[3]

Hence solve the equation $\frac{\cos\theta}{\tan\theta(1 - \sin\theta)} = 4$, for $0^\circ \leq \theta \leq 360^\circ$.

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This 6-mark question has a full step-by-step worked solution and mark scheme. One marking point: “Writes $\tan\theta=\frac{\sin\theta}{\cos\theta}$” …

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