Show that the equation
3sin2x=−6cosx+3 3\sin^2 x = -6\cos x + 3 3sin2x=−6cosx+3Can be written in the form
3cos2x−6cosx=0 3\cos^2 x - 6\cos x = 0 3cos2x−6cosx=0Hence solve, for 0≤x<360∘0 \leq x < 360^\circ0≤x<360∘, the equation,
3sin2x=−6cosx+3 3\sin^2 x = -6\cos x + 3 3sin2x=−6cosx+3322 exam-style questions on Edexcel A Level Maths Trigonometric Identities and Equations, covering 10.1 Angles in all four Quadrants, 10.2 Exact Values of Trigonometric Ratios, 10.3 Trigonometric Identities, 10.4 Solving Trigonometric Equations, 10.5 Harder Trigonometric Equations, and 10.6 Equations and Identities. Each one has a worked solution and a mark scheme showing where the marks go.