Prove the identity sin2x1+cot2x≡2sin3xcosx\frac{\sin 2x}{1 + \cot^2 x} \equiv 2 \sin^3 x \cos x1+cot2xsin2x≡2sin3xcosx
Hence find ∫6sin4θ1+cot22θ dθ\int \frac{6 \sin 4\theta}{1 + \cot^2 2\theta} \, d\theta∫1+cot22θ6sin4θdθ
Practise Edexcel A Level Maths 11.3 Using Trigonometric Identities with exam-style questions for A Level Maths. 32 questions, matched to the Edexcel A Level Maths (9MA0) specification and written in Paper 1, Paper 2 and Paper 3 style. Every question includes a full worked solution and mark scheme, so you can see where marks are awarded rather than just whether you got the answer right.