(a(i))[3]
Prove that $\cot \theta + \tan \theta = 2 \cosec 2\theta$.
(a(ii))[4]
Hence show that $\int_{\frac{\pi}{6}}^{\frac{\pi}{3}} \cosec 2\theta \, d\theta = \frac{1}{2} \ln 3$.
Mathematics 9709 · AS & A Level · Integration
Mathematics 9709 · AS & A Level · Integration
Prove that $\cot \theta + \tan \theta = 2 \cosec 2\theta$.
Hence show that $\int_{\frac{\pi}{6}}^{\frac{\pi}{3}} \cosec 2\theta \, d\theta = \frac{1}{2} \ln 3$.