Show that the equation [6sinθcosθcosθ+sinθ=(4+2sec2θ)(cosθ−sinθ)[\frac{6 \sin \theta \cos \theta}{\cos \theta + \sin \theta} = (4 + 2\sec 2\theta)(\cos \theta - \sin \theta)[cosθ+sinθ6sinθcosθ=(4+2sec2θ)(cosθ−sinθ) can be written in the form 3sin2θ−4cos2θ=23 \sin 2\theta - 4 \cos 2\theta = 23sin2θ−4cos2θ=2
Hence solve for 0<x<π0 < x < \pi0<x<π [6sinxcosxcosx+sinx=(4+2sec2x)(cosx−sinx)[\frac{6 \sin x \cos x}{\cos x + \sin x} = (4 + 2\sec 2x)(\cos x - \sin x)[cosx+sinx6sinxcosx=(4+2sec2x)(cosx−sinx) giving your answers to 3 significant figures.
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.