(a)[3]
Prove the identity $\cosec 2\theta - \cot 2\theta = \tan \theta$.
(b)[4]
Hence demonstrate that $\int_{\tfrac{\pi}{4}}^{\tfrac{3\pi}{8}} (\cosec 2\theta - \cot 2\theta)\, d\theta = \tfrac{1}{2} \ln 2$.
Mathematics 9709 · AS & A Level · Trigonometry