(i)[3]
Prove that $2 \cosec 2\theta \tan \theta \equiv \sec^2 \theta$.
(ii(a))[3]
Hence solve $2 \cosec 2\theta \tan \theta = 5$ for $0 < \theta < \pi$.
(ii(b))[4]
Hence find the exact value of $\int_0^{\frac{1}{6}\pi} 2 \cosec 4x \tan 2x \, dx$.
Mathematics 9709 · AS & A Level · Trigonometry
Trigonometry — practice question
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This 10-mark question has a full step-by-step worked solution and mark scheme. One marking point: “State, or make clear, $\cosec 2\theta=\frac{1}{\sin 2\theta}$” …
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