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Start by rewriting $\tan\theta \tan(\theta + 45^\circ) = 2 \cot 2\theta$ as a quadratic in $\tan\theta$, then solve it for $0^\circ < \theta < 90^\circ$.
Mathematics 9709 · AS & A Level · Trigonometry
Trigonometry — practice question
Worked solution & mark scheme
This 6-mark question has a full step-by-step worked solution and mark scheme. One marking point: “Apply the 2A formula to rewrite the RHS in terms of $\tan\theta$” …
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