Express kcos2x−3sin2xk \cos 2x - 3 \sin 2xkcos2x−3sin2x in the form Rcos(2x+a)R \cos(2x + a)Rcos(2x+a), giving R R\,R and a a\,a in terms of kkk, where k k\,k is a positive constant.
Express kcos2x−3sin2xk \cos 2x - 3 \sin 2xkcos2x−3sin2x in the form Rcos(2x+a)R \cos(2x + a)Rcos(2x+a), giving R R\,R and a a\,a in terms of kkk, where k k\,k is a positive constant.
Give full details of a sequence of three transformations needed to transform the curve y=cosxy = \cos xy=cosx onto the curve y=kcos2x−3sin2xy = k \cos 2x - 3 \sin 2xy=kcos2x−3sin2x, where k k\,k is a positive constant.
Give full details of a sequence of three transformations needed to transform the curve y=cosxy = \cos xy=cosx onto the curve y=kcos2x−3sin2xy = k \cos 2x - 3 \sin 2xy=kcos2x−3sin2x, where k k\,k is a positive constant.
348 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.