Prove the identity:
cos3x−sin3xcosx+sinx≡1−4sinxcosx \frac{\cos 3x-\sin 3x}{\cos x + \sin x} \equiv 1-4\sin x\cos x cosx+sinxcos3x−sin3x≡1−4sinxcosx348 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.