(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 $0^\circ < \theta < 180^\circ$.
Mathematics 9709 · AS & A Level · Trigonometry
If $\tan 2\theta \cot \theta = 8$, show that $\tan^2 \theta = \frac{3}{4}$.
Hence find the solution of $\tan 2\theta \cot \theta = 8$ for $0^\circ < \theta < 180^\circ$.
This 5-mark question has a full step-by-step worked solution and mark scheme. One marking point: “Rewrite using the identity $\cot\theta=\frac{1}{\tan\theta}$” …