(a(i))[3]
Prove that $\cot \theta + \tan \theta = 2\cosec 2\theta$ by simplifying the left-hand side.
(a(ii))[4]
Hence show, from this integral, that $\int_{\frac{1}{8}\pi}^{\frac{3}{8}\pi} \cosec 2\theta\,d\theta = \frac{1}{2}\ln 3$.
Mathematics 9709 · AS & A Level · Integration