Prove the identity, giving your answer in the form a+bsin2xa+b\sin 2xa+bsin2x:
cos3x+sin3xcosx−sinx≡a+bsin2x \frac{\cos 3x+\sin 3x}{\cos x-\sin x} \equiv a+b\sin 2x cosx−sinxcos3x+sin3x≡a+bsin2x348 exam-style questions on Edexcel A Level Maths Trigonometry and Modelling, 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. Each one has a worked solution and a mark scheme showing where the marks go.