9709 P32 - Jun 2021 - Q6
1724
(a) Prove that \(\csc 2\theta - \cot 2\theta \equiv \tan \theta\).
(b) Hence show that \(\int_{\frac{1}{4}\pi}^{\frac{3}{4}\pi} (\csc 2\theta - \cot 2\theta) \, d\theta = \frac{1}{2} \ln 2\).
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