Mathematics 9709 · AS & A Level · Trigonometry

Trigonometry — practice question

(i)[3]

If $\tan 2\theta \cot \theta = 8$, show that $\tan^2 \theta = \frac{3}{4}$.

(ii)[2]

Hence find the solution of $\tan 2\theta \cot \theta = 8$ for $0^\circ < \theta < 180^\circ$.

Worked solution & mark scheme

This 5-mark question has a full step-by-step worked solution and mark scheme. One marking point: Rewrite using the identity $\cot\theta=\frac{1}{\tan\theta}$

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