7.4 Simplifying a cos x +- b sin x
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a.

Show that the equation [6sin⁡θcos⁡θcos⁡θ+sin⁡θ=(4+2sec⁡2θ)(cos⁡θ−sin⁡θ)[\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 3sin⁡2θ−4cos⁡2θ=23 \sin 2\theta - 4 \cos 2\theta = 23sin2θ−4cos2θ=2

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b.

Hence solve for 0<x<π0 < x < \pi0<x<π [6sin⁡xcos⁡xcos⁡x+sin⁡x=(4+2sec⁡2x)(cos⁡x−sin⁡x)[\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.

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7.4 Simplifying a cos x +- b sin x Questions

Practise Edexcel A Level Maths 7.4 Simplifying a cos x +- b sin x with exam-style questions for A Level Maths. 19 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.

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7.4 Simplifying a cos x +- b sin x Questions

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