Use the identity for sin(A+B)\sin(A + B)sin(A+B) to express sin2A \sin 2A\,sin2A in terms of sinA \sin A\,sinA and cosA\cos AcosA.
Use the identity for cos(A+B)\cos(A + B)cos(A+B) to express cos2A \cos 2A\,cos2A in terms of sinA \sin A\,sinA and cosA\cos AcosA.
Hence, express cos2A \cos 2A\,cos2A in terms of cosA\cos AcosA.
Hence, express cos2A \cos 2A\,cos2A in terms of sinA\sin AsinA.
Use the identity for tan(A+B)\tan(A + B)tan(A+B) to express tan2A \tan 2A\,tan2A in terms of tanA\tan AtanA.
Practise Edexcel A Level Maths Trigonometry and Modelling with exam-style questions for A Level Maths. 100 questions covering 7.1 Addition Formulae, 7.2 Double Angle Formulae, 7.3 Solving Trigonometric Equations, 7.4 Simplifying a cos x +- b sin x, 7.5 Proving Trigonometric Identities, and 7.6 Modelling with Trigonometric Functions, 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.