9709 P31 - Nov 2016 - Q5
1713
(i) Prove the identity \(\tan 2\theta - \tan \theta \equiv \tan \theta \sec 2\theta\).
(ii) Hence show that \(\int_{0}^{\frac{1}{6}\pi} \tan \theta \sec 2\theta \, d\theta = \frac{1}{2} \ln \frac{3}{2}\).
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