Mathematics 9709 · AS & A Level · Trigonometry

Trigonometry — practice question

(i)[2]

Rewrite $2\cos^2\theta = \tan^2\theta$ as a quadratic in $\cos^2\theta$.

(ii)[3]

Solve $2\cos^2\theta = \tan^2\theta$ over $0 \le \theta \le \pi$, and express your answers in terms of $\pi$.

Worked solution & mark scheme

This 5-mark question has a full step-by-step worked solution and mark scheme. One marking point: “Applies the identity $2\cos^2\theta = \tan^2\theta$” …

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