Mathematics 9709 · AS & A Level · Trigonometry

Trigonometry — practice question

(i)[1]

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

(ii)[4]

Hence solve the equation $\frac{\sin \theta - \cos \theta}{\sin \theta + \cos \theta} = -\frac{\tan \theta}{6}$, for $0^\circ \leq \theta \leq 180^\circ$.

Worked solution & mark scheme

This 5-mark question has a full step-by-step worked solution and mark scheme. One marking point: Rewrites $\dfrac{\sin\theta-\cos\theta}{\sin\theta+\cos\theta}=\dfrac{t-1}{t+1}$

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